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152146568 = 2374892
BaseRepresentation
bin10010001000110…
…01001010001000
3101121021211212002
421010121022020
5302422142233
623033010132
73525140000
oct1104311210
9347254762
10152146568
1178978a72
1242b53948
13256a0c72
14162c7000
15d5556e8
hex9119288

152146568 has 60 divisors (see below), whose sum is σ = 336582165. Its totient is φ = 64473024.

The previous prime is 152146559. The next prime is 152146573. The reversal of 152146568 is 865641251.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 136002244 + 16144324 = 11662^2 + 4018^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8722.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1709468 + ... + 1709556.

Almost surely, 2152146568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152146568

152146568 is an abundant number, since it is smaller than the sum of its proper divisors (184435597).

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

152146568 is an frugal number, since it uses more digits than its factorization.

152146568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 98 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 152146568 is about 12334.7706910181. The cubic root of 152146568 is about 533.8518107319.

The spelling of 152146568 in words is "one hundred fifty-two million, one hundred forty-six thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 343 356 392 623 686 712 1246 1372 2401 2492 2744 4361 4802 4984 7921 8722 9604 15842 17444 19208 30527 31684 34888 55447 61054 63368 110894 122108 213689 221788 244216 388129 427378 443576 776258 854756 1552516 1709512 2716903 3105032 5433806 10867612 19018321 21735224 38036642 76073284 152146568