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151064400 = 24352125887
BaseRepresentation
bin10010000000100…
…00111101010000
3101112020212101210
421000100331100
5302133030100
622553500120
73513011664
oct1100207520
9345225353
10151064400
11782a9a13
1242711640
13253b2526
14160c48a4
15d3dec50
hex9010f50

151064400 has 60 divisors (see below), whose sum is σ = 483913472. Its totient is φ = 40283520.

The previous prime is 151064371. The next prime is 151064411. The reversal of 151064400 is 4460151.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61744 + ... + 64143.

Almost surely, 2151064400 is an apocalyptic number.

151064400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151064400 is an abundant number, since it is smaller than the sum of its proper divisors (332849072).

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

151064400 is a wasteful number, since it uses less digits than its factorization.

151064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125908 (or 125897 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 151064400 is about 12290.8258469478. The cubic root of 151064400 is about 532.5830944409.

The spelling of 151064400 in words is "one hundred fifty-one million, sixty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 125887 251774 377661 503548 629435 755322 1007096 1258870 1510644 1888305 2014192 2517740 3021288 3147175 3776610 5035480 6042576 6294350 7553220 9441525 10070960 12588700 15106440 18883050 25177400 30212880 37766100 50354800 75532200 151064400