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152754680 = 235131915461
BaseRepresentation
bin10010001101011…
…01100111111000
3101122102202000202
421012231213320
5303101122210
623054021332
73533251631
oct1106554770
9348382022
10152754680
1179253941
12431a7848
13258549b0
1416404888
15d6259a5
hex91ad9f8

152754680 has 64 divisors (see below), whose sum is σ = 389642400. Its totient is φ = 53429760.

The previous prime is 152754677. The next prime is 152754683. The reversal of 152754680 is 86457251.

It is an interprime number because it is at equal distance from previous prime (152754677) and next prime (152754683).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152754683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2150 + ... + 17610.

Almost surely, 2152754680 is an apocalyptic number.

152754680 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 152754680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194821200).

152754680 is an abundant number, since it is smaller than the sum of its proper divisors (236887720).

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

152754680 is a wasteful number, since it uses less digits than its factorization.

152754680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15504 (or 15500 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 152754680 is about 12359.3964253923. The cubic root of 152754680 is about 534.5621129451.

The spelling of 152754680 in words is "one hundred fifty-two million, seven hundred fifty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4940 9880 15461 30922 61844 77305 123688 154610 200993 293759 309220 401986 587518 618440 803972 1004965 1175036 1468795 1607944 2009930 2350072 2937590 3818867 4019860 5875180 7637734 8039720 11750360 15275468 19094335 30550936 38188670 76377340 152754680