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151436064 = 25313121343
BaseRepresentation
bin10010000011010…
…11101100100000
3101112221202020010
421001223230200
5302231423224
623005444520
73516120363
oct1101535440
9345852203
10151436064
117853317a
1242870740
13254b2750
14161800da
15d464e29
hex906bb20

151436064 has 48 divisors (see below), whose sum is σ = 428101632. Its totient is φ = 46595328.

The previous prime is 151436063. The next prime is 151436093. The reversal of 151436064 is 460634151.

151436064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (151436063) 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, 59424 + ... + 61919.

It is an arithmetic number, because the mean of its divisors is an integer number (8918784).

Almost surely, 2151436064 is an apocalyptic number.

It is an amenable number.

151436064 is an abundant number, since it is smaller than the sum of its proper divisors (276665568).

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

151436064 is a wasteful number, since it uses less digits than its factorization.

151436064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121369 (or 121361 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 151436064 is about 12305.9361285519. The cubic root of 151436064 is about 533.0195084304.

The spelling of 151436064 in words is "one hundred fifty-one million, four hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 121343 242686 364029 485372 728058 970744 1456116 1577459 1941488 2912232 3154918 3882976 4732377 5824464 6309836 9464754 11648928 12619672 18929508 25239344 37859016 50478688 75718032 151436064