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132471768 = 2331141329
BaseRepresentation
bin1111110010101…
…01101111011000
3100020021021002210
413321111233120
5232403044033
621051155120
73165664032
oct771255730
9306237083
10132471768
1168860000
1238445aa0
13215a2880
1413844c52
15b96ad63
hex7e55bd8

132471768 has 160 divisors (see below), whose sum is σ = 405846000. Its totient is φ = 35777280.

The previous prime is 132471767. The next prime is 132471793. The reversal of 132471768 is 867174231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132471763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4567978 + ... + 4568006.

Almost surely, 2132471768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132471768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202923000).

132471768 is an abundant number, since it is smaller than the sum of its proper divisors (273374232).

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

132471768 is a wasteful number, since it uses less digits than its factorization.

132471768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 132471768 is about 11509.6380481751. The cubic root of 132471768 is about 509.7702001999.

The spelling of 132471768 in words is "one hundred thirty-two million, four hundred seventy-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 29 33 39 44 52 58 66 78 87 88 104 116 121 132 143 156 174 232 242 264 286 312 319 348 363 377 429 484 572 638 696 726 754 858 957 968 1131 1144 1276 1331 1452 1508 1573 1716 1914 2262 2552 2662 2904 3016 3146 3432 3509 3828 3993 4147 4524 4719 5324 6292 7018 7656 7986 8294 9048 9438 10527 10648 12441 12584 14036 14641 15972 16588 17303 18876 21054 24882 28072 29282 31944 33176 34606 37752 38599 42108 43923 45617 49764 51909 58564 69212 77198 84216 87846 91234 99528 103818 115797 117128 136851 138424 154396 175692 182468 190333 207636 231594 273702 308792 351384 364936 380666 415272 424589 463188 501787 547404 570999 761332 849178 926376 1003574 1094808 1141998 1273767 1505361 1522664 1698356 2007148 2283996 2547534 3010722 3396712 4014296 4567992 5095068 5519657 6021444 10190136 11039314 12042888 16558971 22078628 33117942 44157256 66235884 132471768