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152495360 = 2851091093
BaseRepresentation
bin10010001011011…
…10010100000000
3101121221120022022
421011232110000
5303014322420
623044301012
73531121613
oct1105562400
9347846268
10152495360
1179097026
12430a1768
1325793954
141637817a
15d5c3c25
hex916e500

152495360 has 72 divisors (see below), whose sum is σ = 368962440. Its totient is φ = 60383232.

The previous prime is 152495351. The next prime is 152495383. The reversal of 152495360 is 63594251.

It can be written as a sum of positive squares in 4 ways, for example, as 71639296 + 80856064 = 8464^2 + 8992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 152495360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138974 + ... + 140066.

Almost surely, 2152495360 is an apocalyptic number.

152495360 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 152495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184481220).

152495360 is an abundant number, since it is smaller than the sum of its proper divisors (216467080).

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

152495360 is a wasteful number, since it uses less digits than its factorization.

152495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 152495360 is about 12348.9011656908. The cubic root of 152495360 is about 534.2594464643.

The spelling of 152495360 in words is "one hundred fifty-two million, four hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 545 640 872 1090 1093 1280 1744 2180 2186 3488 4360 4372 5465 6976 8720 8744 10930 13952 17440 17488 21860 27904 34880 34976 43720 69760 69952 87440 119137 139520 139904 174880 238274 279808 349760 476548 595685 699520 953096 1191370 1399040 1906192 2382740 3812384 4765480 7624768 9530960 15249536 19061920 30499072 38123840 76247680 152495360