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152866040 = 23517415483
BaseRepresentation
bin10010001110010…
…00110011111000
3101122122101210012
421013020303320
5303113203130
623100241052
73534224405
oct1107106370
9348571705
10152866040
117931a578
1243240188
13258935a2
14164332ac
15d648995
hex91c8cf8

152866040 has 64 divisors (see below), whose sum is σ = 373131360. Its totient is φ = 56135680.

The previous prime is 152866037. The next prime is 152866097. The reversal of 152866040 is 40668251.

It is a junction number, because it is equal to n+sod(n) for n = 152865988 and 152866006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25139 + ... + 30621.

Almost surely, 2152866040 is an apocalyptic number.

152866040 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 152866040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186565680).

152866040 is an abundant number, since it is smaller than the sum of its proper divisors (220265320).

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

152866040 is a wasteful number, since it uses less digits than its factorization.

152866040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 152866040 is about 12363.9006789929. The cubic root of 152866040 is about 534.6919821293.

The spelling of 152866040 in words is "one hundred fifty-two million, eight hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 2788 3485 5483 5576 6970 10966 13940 21932 27415 27880 43864 54830 93211 109660 186422 219320 224803 372844 449606 466055 745688 899212 932110 1124015 1798424 1864220 2248030 3728440 3821651 4496060 7643302 8992120 15286604 19108255 30573208 38216510 76433020 152866040