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64014132 = 22371331261
BaseRepresentation
bin1111010000110…
…0011100110100
311110110020212210
43310030130310
5112341423012
610204013420
71405053060
oct364143464
9143406783
1064014132
1133152846
1219531270
13103540b0
148704aa0
15594723c
hex3d0c734

64014132 has 144 divisors (see below), whose sum is σ = 193070976. Its totient is φ = 16070400.

The previous prime is 64014131. The next prime is 64014133. The reversal of 64014132 is 23141046.

64014132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64014131) and next prime (64014133).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 64014099 and 64014108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64014131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049382 + ... + 1049442.

Almost surely, 264014132 is an apocalyptic number.

64014132 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64014132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96535488).

64014132 is an abundant number, since it is smaller than the sum of its proper divisors (129056844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64014132 is a wasteful number, since it uses less digits than its factorization.

64014132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 64014132 is about 8000.8832012472. The cubic root of 64014132 is about 400.0294394999.

Adding to 64014132 its reverse (23141046), we get a palindrome (87155178).

It can be divided in two parts, 64014 and 132, that added together give a palindrome (64146).

The spelling of 64014132 in words is "sixty-four million, fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 61 62 78 84 91 93 122 124 156 182 183 186 217 244 273 364 366 372 403 427 434 546 651 732 793 806 854 868 961 1092 1209 1281 1302 1586 1612 1708 1891 1922 2379 2418 2562 2604 2821 2883 3172 3782 3844 4758 4836 5124 5551 5642 5673 5766 6727 7564 8463 9516 11102 11284 11346 11532 12493 13237 13454 16653 16926 20181 22204 22692 24583 24986 26474 26908 33306 33852 37479 39711 40362 49166 49972 52948 58621 66612 73749 74958 79422 80724 87451 98332 117242 147498 149916 158844 172081 174902 175863 234484 262353 294996 344162 349804 351726 410347 516243 524706 688324 703452 762073 820694 1032486 1049412 1231041 1524146 1641388 2064972 2286219 2462082 3048292 4572438 4924164 5334511 9144876 10669022 16003533 21338044 32007066 64014132