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154790064 = 243211137517
BaseRepresentation
bin10010011100111…
…10100010110000
3101210021011001100
421032132202300
5304111240224
623205404400
73556456662
oct1116364260
9353234040
10154790064
117a414080
1243a09700
13260b8270
14167b4532
15d8c8ac9
hex939e8b0

154790064 has 120 divisors (see below), whose sum is σ = 508998672. Its totient is φ = 43292160.

The previous prime is 154790063. The next prime is 154790087. The reversal of 154790064 is 460097451.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (154790063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16834 + ... + 24350.

Almost surely, 2154790064 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 154790064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254499336).

154790064 is an abundant number, since it is smaller than the sum of its proper divisors (354208608).

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

154790064 is a wasteful number, since it uses less digits than its factorization.

154790064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 154790064 is about 12441.4655085323. The cubic root of 154790064 is about 536.9259076120.

The spelling of 154790064 in words is "one hundred fifty-four million, seven hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 7517 10296 15034 20592 22551 30068 45102 60136 67653 82687 90204 97721 120272 135306 165374 180408 195442 248061 270612 293163 330748 360816 390884 496122 541224 586326 661496 744183 781768 879489 992244 1074931 1082448 1172652 1322992 1488366 1563536 1758978 1984488 2149862 2345304 2976732 3224793 3517956 3968976 4299724 4690608 5953464 6449586 7035912 8599448 9674379 11906928 12899172 14071824 17198896 19348758 25798344 38697516 51596688 77395032 154790064