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152678820 = 223571133217
BaseRepresentation
bin10010001100110…
…11000110100100
3101122021212222010
421012123012210
5303041210240
623052234220
73532514520
oct1106330644
9348255863
10152678820
1179201948
124316b970
13258292c8
14163c4d80
15d60d280
hex919b1a4

152678820 has 96 divisors (see below), whose sum is σ = 493049088. Its totient is φ = 34578432.

The previous prime is 152678809. The next prime is 152678833. The reversal of 152678820 is 28876251.

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, 45852 + ... + 49068.

It is an arithmetic number, because the mean of its divisors is an integer number (5135928).

Almost surely, 2152678820 is an apocalyptic number.

152678820 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 152678820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246524544).

152678820 is an abundant number, since it is smaller than the sum of its proper divisors (340370268).

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

152678820 is a wasteful number, since it uses less digits than its factorization.

152678820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 152678820 is about 12356.3271241903. The cubic root of 152678820 is about 534.4736080809.

The spelling of 152678820 in words is "one hundred fifty-two million, six hundred seventy-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3217 3390 3955 4746 6434 6780 7910 9492 9651 11865 12868 15820 16085 19302 22519 23730 32170 38604 45038 47460 48255 64340 67557 90076 96510 112595 135114 193020 225190 270228 337785 363521 450380 675570 727042 1090563 1351140 1454084 1817605 2181126 2544647 3635210 4362252 5089294 5452815 7270420 7633941 10178588 10905630 12723235 15267882 21811260 25446470 30535764 38169705 50892940 76339410 152678820