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132076120 = 235112331421
BaseRepresentation
bin1111101111101…
…01001001011000
3100012112011101011
413313311021120
5232302413440
621034503304
73162425401
oct767651130
9305464334
10132076120
116860a820
1238294b34
1321494767
14137809a8
15b8dd9ea
hex7df5258

132076120 has 128 divisors (see below), whose sum is σ = 350023680. Its totient is φ = 44352000.

The previous prime is 132076103. The next prime is 132076141. The reversal of 132076120 is 21670231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 132076091 and 132076100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313510 + ... + 313930.

It is an arithmetic number, because the mean of its divisors is an integer number (2734560).

Almost surely, 2132076120 is an apocalyptic number.

132076120 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 132076120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175011840).

132076120 is an abundant number, since it is smaller than the sum of its proper divisors (217947560).

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

132076120 is a wasteful number, since it uses less digits than its factorization.

132076120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 132076120 is about 11492.4375134259. The cubic root of 132076120 is about 509.2621908590.

The spelling of 132076120 in words is "one hundred thirty-two million, seventy-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 31 40 44 46 55 62 88 92 110 115 124 155 184 220 230 248 253 310 341 421 440 460 506 620 682 713 842 920 1012 1240 1265 1364 1426 1684 1705 2024 2105 2530 2728 2852 3368 3410 3565 4210 4631 5060 5704 6820 7130 7843 8420 9262 9683 10120 13051 13640 14260 15686 16840 18524 19366 23155 26102 28520 31372 37048 38732 39215 46310 48415 52204 62744 65255 77464 78430 92620 96830 104408 106513 130510 143561 156860 185240 193660 213026 261020 287122 300173 313720 387320 426052 522040 532565 574244 600346 717805 852104 1065130 1148488 1200692 1435610 1500865 2130260 2401384 2871220 3001730 3301903 4260520 5742440 6003460 6603806 12006920 13207612 16509515 26415224 33019030 66038060 132076120