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152323920 = 24325730223
BaseRepresentation
bin10010001010001…
…00011101010000
3101121121212010200
421011010131100
5302443331140
623040455200
73526506030
oct1105043520
9347555120
10152323920
1178a8a241
124301a500
13257338c8
14163318c0
15d58d030
hex9144750

152323920 has 120 divisors (see below), whose sum is σ = 584653056. Its totient is φ = 34815744.

The previous prime is 152323909. The next prime is 152323933. The reversal of 152323920 is 29323251.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 10072 + ... + 20151.

Almost surely, 2152323920 is an apocalyptic number.

152323920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152323920 is an abundant number, since it is smaller than the sum of its proper divisors (432329136).

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

152323920 is a wasteful number, since it uses less digits than its factorization.

152323920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30249 (or 30240 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 152323920 is about 12341.9577053237. The cubic root of 152323920 is about 534.0591610589.

The spelling of 152323920 in words is "one hundred fifty-two million, three hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 30223 60446 90669 120892 151115 181338 211561 241784 272007 302230 362676 423122 453345 483568 544014 604460 634683 725352 846244 906690 1057805 1088028 1208920 1269366 1360035 1450704 1692488 1813380 1904049 2115610 2176056 2417840 2538732 2720070 3173415 3384976 3626760 3808098 4231220 4352112 5077464 5440140 6346830 7253520 7616196 8462440 9520245 10154928 10880280 12693660 15232392 16924880 19040490 21760560 25387320 30464784 38080980 50774640 76161960 152323920