Search a number
-
+
122711064 = 23372989283
BaseRepresentation
bin1110101000001…
…10110000011000
322112220100221020
413110012300120
5222403223224
620102042440
73020012130
oct724066030
9275810836
10122711064
11632a3703
1235119420
131c565bc8
1412423ac0
15ab8dc79
hex7506c18

122711064 has 128 divisors (see below), whose sum is σ = 368064000. Its totient is φ = 33352704.

The previous prime is 122711053. The next prime is 122711089. The reversal of 122711064 is 460117221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433467 + ... + 433749.

It is an arithmetic number, because the mean of its divisors is an integer number (2875500).

Almost surely, 2122711064 is an apocalyptic number.

122711064 is a gapful number since it is divisible by the number (14) 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 122711064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184032000).

122711064 is an abundant number, since it is smaller than the sum of its proper divisors (245352936).

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

122711064 is a wasteful number, since it uses less digits than its factorization.

122711064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 122711064 is about 11077.5026066348. The cubic root of 122711064 is about 496.9292651148.

Adding to 122711064 its reverse (460117221), we get a palindrome (582828285).

The spelling of 122711064 in words is "one hundred twenty-two million, seven hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 89 116 168 174 178 203 232 267 283 348 356 406 534 566 609 623 696 712 812 849 1068 1132 1218 1246 1624 1698 1869 1981 2136 2264 2436 2492 2581 3396 3738 3962 4872 4984 5162 5943 6792 7476 7743 7924 8207 10324 11886 14952 15486 15848 16414 18067 20648 23772 24621 25187 30972 32828 36134 47544 49242 50374 54201 57449 61944 65656 72268 75561 98484 100748 108402 114898 144536 151122 172347 176309 196968 201496 216804 229796 302244 344694 352618 433608 459592 528927 604488 689388 705236 730423 1057854 1378776 1410472 1460846 2115708 2191269 2921692 4231416 4382538 5112961 5843384 8765076 10225922 15338883 17530152 20451844 30677766 40903688 61355532 122711064