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149906064 = 24371140559
BaseRepresentation
bin10001110111101…
…10001010010000
3101110002000110110
420323312022100
5301333443224
622513001320
73500115630
oct1073661220
9343060413
10149906064
1177688710
1242253240
1325098219
1415ca26c0
15d261929
hex8ef6290

149906064 has 80 divisors (see below), whose sum is σ = 482826240. Its totient is φ = 38935680.

The previous prime is 149906059. The next prime is 149906093. The reversal of 149906064 is 460609941.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16584 + ... + 23975.

It is an arithmetic number, because the mean of its divisors is an integer number (6035328).

Almost surely, 2149906064 is an apocalyptic number.

149906064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

149906064 is an abundant number, since it is smaller than the sum of its proper divisors (332920176).

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

149906064 is a wasteful number, since it uses less digits than its factorization.

149906064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40588 (or 40582 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 149906064 is about 12243.6131921913. The cubic root of 149906064 is about 531.2183482134.

The spelling of 149906064 in words is "one hundred forty-nine million, nine hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 40559 81118 121677 162236 243354 283913 324472 446149 486708 567826 648944 851739 892298 973416 1135652 1338447 1703478 1784596 1946832 2271304 2676894 3123043 3406956 3569192 4542608 5353788 6246086 6813912 7138384 9369129 10707576 12492172 13627824 18738258 21415152 24984344 37476516 49968688 74953032 149906064