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132050360 = 235132361181
BaseRepresentation
bin1111101111011…
…10110110111000
3100012110212001002
413313232312320
5232301102420
621034144132
73162260321
oct767566670
9305425032
10132050360
11685a2432
1238282048
1321485b10
1413775448
15b8d6075
hex7deedb8

132050360 has 128 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 45619200.

The previous prime is 132050353. The next prime is 132050389. The reversal of 132050360 is 63050231.

It is a super-2 number, since 2×1320503602 = 34874595152259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729470 + ... + 729650.

It is an arithmetic number, because the mean of its divisors is an integer number (2665845).

Almost surely, 2132050360 is an apocalyptic number.

132050360 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 132050360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

132050360 is an abundant number, since it is smaller than the sum of its proper divisors (209177800).

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

132050360 is a wasteful number, since it uses less digits than its factorization.

132050360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 132050360 is about 11491.3167217687. The cubic root of 132050360 is about 509.2290800362.

The spelling of 132050360 in words is "one hundred thirty-two million, fifty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 61 65 92 104 115 122 130 181 184 230 244 260 299 305 362 460 488 520 598 610 724 793 905 920 1196 1220 1403 1448 1495 1586 1810 2353 2392 2440 2806 2990 3172 3620 3965 4163 4706 5612 5980 6344 7015 7240 7930 8326 9412 11041 11224 11765 11960 14030 15860 16652 18239 18824 20815 22082 23530 28060 31720 33304 36478 41630 44164 47060 54119 55205 56120 72956 83260 88328 91195 94120 108238 110410 143533 145912 166520 182390 216476 220820 253943 270595 287066 364780 432952 441640 507886 541190 574132 717665 729560 1015772 1082380 1148264 1269715 1435330 2031544 2164760 2539430 2870660 3301259 5078860 5741320 6602518 10157720 13205036 16506295 26410072 33012590 66025180 132050360