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132157760 = 2657411439
BaseRepresentation
bin1111110000010…
…01000101000000
3100012200022100212
413320021011000
5232313022020
621040333252
73163215410
oct770110500
9305608325
10132157760
1168666099
1238314228
13214c2977
14137a2640
15b907cc5
hex7e09140

132157760 has 112 divisors (see below), whose sum is σ = 368686080. Its totient is φ = 44175360.

The previous prime is 132157723. The next prime is 132157771. The reversal of 132157760 is 67751231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91121 + ... + 92559.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2132157760 is an apocalyptic number.

132157760 is a gapful number since it is divisible by the number (10) 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 132157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

132157760 is an abundant number, since it is smaller than the sum of its proper divisors (236528320).

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

132157760 is a wasteful number, since it uses less digits than its factorization.

132157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 132157760 is about 11495.9888656870. The cubic root of 132157760 is about 509.3670990532.

The spelling of 132157760 in words is "one hundred thirty-two million, one hundred fifty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 140 160 164 205 224 280 287 320 328 410 448 560 574 656 820 1120 1148 1312 1435 1439 1640 2240 2296 2624 2870 2878 3280 4592 5740 5756 6560 7195 9184 10073 11480 11512 13120 14390 18368 20146 22960 23024 28780 40292 45920 46048 50365 57560 58999 80584 91840 92096 100730 115120 117998 161168 201460 230240 235996 294995 322336 402920 412993 460480 471992 589990 644672 805840 825986 943984 1179980 1611680 1651972 1887968 2064965 2359960 3223360 3303944 3775936 4129930 4719920 6607888 8259860 9439840 13215776 16519720 18879680 26431552 33039440 66078880 132157760