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150664164 = 223729127487
BaseRepresentation
bin10001111101011…
…11001111100100
3101111111112101020
420332233033210
5302032223124
622541131140
73506424060
oct1076571744
9344445336
10150664164
1178056242
1242559ab0
13252a22c1
141601caa0
15d361379
hex8faf3e4

150664164 has 96 divisors (see below), whose sum is σ = 419758080. Its totient is φ = 41150592.

The previous prime is 150664159. The next prime is 150664231. The reversal of 150664164 is 461466051.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309129 + ... + 309615.

It is an arithmetic number, because the mean of its divisors is an integer number (4372480).

Almost surely, 2150664164 is an apocalyptic number.

150664164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150664164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209879040).

150664164 is an abundant number, since it is smaller than the sum of its proper divisors (269093916).

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

150664164 is a wasteful number, since it uses less digits than its factorization.

150664164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 150664164 is about 12274.5331479450. The cubic root of 150664164 is about 532.1123295320.

The spelling of 150664164 in words is "one hundred fifty million, six hundred sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 127 174 203 254 348 381 406 487 508 609 762 812 889 974 1218 1461 1524 1778 1948 2436 2667 2922 3409 3556 3683 5334 5844 6818 7366 10227 10668 11049 13636 14123 14732 20454 22098 25781 28246 40908 42369 44196 51562 56492 61849 77343 84738 98861 103124 123698 154686 169476 185547 197722 247396 296583 309372 371094 395444 432943 593166 742188 865886 1186332 1298829 1731772 1793621 2597658 3587242 5195316 5380863 7174484 10761726 12555347 21523452 25110694 37666041 50221388 75332082 150664164