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152391240 = 23335149947
BaseRepresentation
bin10010001010101…
…00111001001000
3101121202021111000
421011110321020
5303003004430
623042135000
73530206221
oct1105247110
9347667430
10152391240
1179025881
1243051460
1325758441
141634c248
15d5a2e60
hex9154e48

152391240 has 128 divisors (see below), whose sum is σ = 511920000. Its totient is φ = 40322304.

The previous prime is 152391233. The next prime is 152391241. The reversal of 152391240 is 42193251.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (152391241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160447 + ... + 161393.

It is an arithmetic number, because the mean of its divisors is an integer number (3999375).

Almost surely, 2152391240 is an apocalyptic number.

152391240 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 152391240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255960000).

152391240 is an abundant number, since it is smaller than the sum of its proper divisors (359528760).

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

152391240 is a wasteful number, since it uses less digits than its factorization.

152391240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 152391240 is about 12344.6846861311. The cubic root of 152391240 is about 534.1378258051.

The spelling of 152391240 in words is "one hundred fifty-two million, three hundred ninety-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 149 180 216 270 298 360 447 540 596 745 894 947 1080 1192 1341 1490 1788 1894 2235 2682 2841 2980 3576 3788 4023 4470 4735 5364 5682 5960 6705 7576 8046 8523 8940 9470 10728 11364 13410 14205 16092 17046 17880 18940 20115 22728 25569 26820 28410 32184 34092 37880 40230 42615 51138 53640 56820 68184 80460 85230 102276 113640 127845 141103 160920 170460 204552 255690 282206 340920 423309 511380 564412 705515 846618 1022760 1128824 1269927 1411030 1693236 2116545 2539854 2822060 3386472 3809781 4233090 5079708 5644120 6349635 7619562 8466180 10159416 12699270 15239124 16932360 19048905 25398540 30478248 38097810 50797080 76195620 152391240