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152452040 = 23513293177
BaseRepresentation
bin10010001011000…
…11101111001000
3101121212100212212
421011203233020
5303011431130
623043324252
73530551406
oct1105435710
9347770785
10152452040
1179067524
1243080688
132577a010
1416366476
15d5b5e95
hex9163bc8

152452040 has 32 divisors (see below), whose sum is σ = 369404280. Its totient is φ = 56289792.

The previous prime is 152452037. The next prime is 152452061. The reversal of 152452040 is 40254251.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71199844 + 81252196 = 8438^2 + 9014^2 .

It is a junction number, because it is equal to n+sod(n) for n = 152451997 and 152452015.

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 7 ways as a sum of consecutive naturals, for example, 146069 + ... + 147108.

Almost surely, 2152452040 is an apocalyptic number.

152452040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152452040 is an abundant number, since it is smaller than the sum of its proper divisors (216952240).

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

152452040 is a wasteful number, since it uses less digits than its factorization.

152452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293201 (or 293197 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 152452040 is about 12347.1470388912. The cubic root of 152452040 is about 534.2088518952.

The spelling of 152452040 in words is "one hundred fifty-two million, four hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 293177 586354 1172708 1465885 2345416 2931770 3811301 5863540 7622602 11727080 15245204 19056505 30490408 38113010 76226020 152452040