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151253640 = 23325420149
BaseRepresentation
bin10010000001111…
…11001010001000
3101112121110222200
421000333022020
5302210104030
623001520200
73514430466
oct1100771210
9345543880
10151253640
117841910a
12427a3060
132544a6c5
1416133836
15d42ad60
hex903f288

151253640 has 48 divisors (see below), whose sum is σ = 491575500. Its totient is φ = 40334208.

The previous prime is 151253629. The next prime is 151253659. The reversal of 151253640 is 46352151.

151253640 is a `hidden beast` number, since 1 + 5 + 12 + 5 + 3 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142993764 + 8259876 = 11958^2 + 2874^2 .

It is a super-2 number, since 2×1512536402 = 45755327226499200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209715 + ... + 210434.

Almost surely, 2151253640 is an apocalyptic number.

151253640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151253640 is an abundant number, since it is smaller than the sum of its proper divisors (340321860).

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

151253640 is a wasteful number, since it uses less digits than its factorization.

151253640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420166 (or 420159 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 151253640 is about 12298.5218624028. The cubic root of 151253640 is about 532.8053925001.

The spelling of 151253640 in words is "one hundred fifty-one million, two hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 420149 840298 1260447 1680596 2100745 2520894 3361192 3781341 4201490 5041788 6302235 7562682 8402980 10083576 12604470 15125364 16805960 18906705 25208940 30250728 37813410 50417880 75626820 151253640