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152493240 = 23351966883
BaseRepresentation
bin10010001011011…
…01110010111000
3101121221110101210
421011231302320
5303014240430
623044243120
73531112464
oct1105556270
9347843353
10152493240
1179095479
12430a04a0
13257929b3
14163774a4
15d5c32b0
hex916dcb8

152493240 has 64 divisors (see below), whose sum is σ = 481564800. Its totient is φ = 38524032.

The previous prime is 152493203. The next prime is 152493241. The reversal of 152493240 is 42394251.

152493240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152493198 and 152493207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152493241) 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, 31162 + ... + 35721.

It is an arithmetic number, because the mean of its divisors is an integer number (7524450).

Almost surely, 2152493240 is an apocalyptic number.

152493240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152493240 is an abundant number, since it is smaller than the sum of its proper divisors (329071560).

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

152493240 is a wasteful number, since it uses less digits than its factorization.

152493240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66916 (or 66912 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 152493240 is about 12348.8153277956. The cubic root of 152493240 is about 534.2569706835.

The spelling of 152493240 in words is "one hundred fifty-two million, four hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 66883 133766 200649 267532 334415 401298 535064 668830 802596 1003245 1270777 1337660 1605192 2006490 2541554 2675320 3812331 4012980 5083108 6353885 7624662 8025960 10166216 12707770 15249324 19061655 25415540 30498648 38123310 50831080 76246620 152493240