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154152064 = 2711237269
BaseRepresentation
bin10010011000000…
…10110010000000
3101202001201212201
421030002302000
5303430331224
623144002544
73551161633
oct1114026200
9352051781
10154152064
117a018800
1243760454
1325c23a51
1416689c1a
15d7eea44
hex9302c80

154152064 has 96 divisors (see below), whose sum is σ = 347967900. Its totient is φ = 67921920.

The previous prime is 154152043. The next prime is 154152067. The reversal of 154152064 is 460251451.

154152064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 153958464 + 193600 = 12408^2 + 440^2 .

It is not an unprimeable number, because it can be changed into a prime (154152067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572922 + ... + 573190.

Almost surely, 2154152064 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 154152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173983950).

154152064 is an abundant number, since it is smaller than the sum of its proper divisors (193815836).

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

154152064 is a wasteful number, since it uses less digits than its factorization.

154152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 154152064 is about 12415.7989674447. The cubic root of 154152064 is about 536.1872071993.

The spelling of 154152064 in words is "one hundred fifty-four million, one hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 121 128 148 176 242 269 296 352 407 484 538 592 704 814 968 1076 1184 1408 1628 1936 2152 2368 2959 3256 3872 4304 4477 4736 5918 6512 7744 8608 8954 9953 11836 13024 15488 17216 17908 19906 23672 26048 32549 34432 35816 39812 47344 52096 65098 71632 79624 94688 109483 130196 143264 159248 189376 218966 260392 286528 318496 378752 437932 520784 573056 636992 875864 1041568 1204313 1273984 1751728 2083136 2408626 3503456 4166272 4817252 7006912 9634504 14013824 19269008 38538016 77076032 154152064