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132103920 = 24351323257
BaseRepresentation
bin1111101111110…
…11111011110000
3100012120120111210
413313323323300
5232304311140
621035240120
73162602424
oct767737360
9305516453
10132103920
11686296a3
12382a9040
13214a4300
141378ab84
15b8e6d80
hex7dfbef0

132103920 has 120 divisors (see below), whose sum is σ = 443583216. Its totient is φ = 32507904.

The previous prime is 132103919. The next prime is 132103997. The reversal of 132103920 is 29301231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38932 + ... + 42188.

Almost surely, 2132103920 is an apocalyptic number.

132103920 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 132103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221791608).

132103920 is an abundant number, since it is smaller than the sum of its proper divisors (311479296).

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

132103920 is a wasteful number, since it uses less digits than its factorization.

132103920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 132103920 is about 11493.6469408104. The cubic root of 132103920 is about 509.2979189823.

The spelling of 132103920 in words is "one hundred thirty-two million, one hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3257 3380 4056 5070 6514 6760 8112 9771 10140 13028 13520 16285 19542 20280 26056 32570 39084 40560 42341 48855 52112 65140 78168 84682 97710 127023 130280 156336 169364 195420 211705 254046 260560 338728 390840 423410 508092 550433 635115 677456 781680 846820 1016184 1100866 1270230 1651299 1693640 2032368 2201732 2540460 2752165 3302598 3387280 4403464 5080920 5504330 6605196 8256495 8806928 10161840 11008660 13210392 16512990 22017320 26420784 33025980 44034640 66051960 132103920