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151972480 = 2751121587
BaseRepresentation
bin10010000111011…
…10101010000000
3101120222000001101
421003232222000
5302401104410
623025144144
73523513312
oct1103565200
9346860041
10151972480
117886a1a0
1242a8b054
132563c95a
141627d7b2
15d51dd3a
hex90eea80

151972480 has 64 divisors (see below), whose sum is σ = 396355680. Its totient is φ = 55260160.

The previous prime is 151972459. The next prime is 151972489. The reversal of 151972480 is 84279151.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (151972489) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3754 + ... + 17833.

Almost surely, 2151972480 is an apocalyptic number.

151972480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151972480 is an abundant number, since it is smaller than the sum of its proper divisors (244383200).

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

151972480 is a wasteful number, since it uses less digits than its factorization.

151972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21617 (or 21605 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 151972480 is about 12327.7118720385. The cubic root of 151972480 is about 533.6481197244.

The spelling of 151972480 in words is "one hundred fifty-one million, nine hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 21587 43174 86348 107935 172696 215870 237457 345392 431740 474914 690784 863480 949828 1187285 1381568 1726960 1899656 2374570 2763136 3453920 3799312 4749140 6907840 7598624 9498280 13815680 15197248 18996560 30394496 37993120 75986240 151972480