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149400064 = 291141647
BaseRepresentation
bin10001110011110…
…10101000000000
3101102010022100201
420321322220000
5301221300224
622454054544
73462610462
oct1071725000
9342108321
10149400064
1177372530
124204a454
1324c4bb08
1415bb0132
15d1b1a44
hex8e7aa00

149400064 has 80 divisors (see below), whose sum is σ = 334103616. Its totient is φ = 66150400.

The previous prime is 149400049. The next prime is 149400073. The reversal of 149400064 is 460004941.

It is an unprimeable number.

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, 230589 + ... + 231235.

Almost surely, 2149400064 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 149400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167051808).

149400064 is an abundant number, since it is smaller than the sum of its proper divisors (184703552).

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

149400064 is an equidigital number, since it uses as much as digits as its factorization.

149400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 149400064 is about 12222.9318905081. The cubic root of 149400064 is about 530.6199746241.

The spelling of 149400064 in words is "one hundred forty-nine million, four hundred thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 512 647 656 704 902 1294 1312 1408 1804 2588 2624 2816 3608 5176 5248 5632 7117 7216 10352 10496 14234 14432 20704 20992 26527 28468 28864 41408 53054 56936 57728 82816 106108 113872 115456 165632 212216 227744 230912 291797 331264 424432 455488 583594 848864 910976 1167188 1697728 1821952 2334376 3395456 3643904 4668752 6790912 9337504 13581824 18675008 37350016 74700032 149400064