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150064680 = 23358914051
BaseRepresentation
bin10001111000111…
…00111000101000
3101110101002001010
420330130320220
5301404032210
622520223520
73501346233
oct1074347050
9343332033
10150064680
11777868a7
124230aba0
132512248c
1415d0441a
15d293920
hex8f1ce28

150064680 has 64 divisors (see below), whose sum is σ = 455284800. Its totient is φ = 39564800.

The previous prime is 150064643. The next prime is 150064693. The reversal of 150064680 is 86460051.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3655 + ... + 17705.

It is an arithmetic number, because the mean of its divisors is an integer number (7113825).

Almost surely, 2150064680 is an apocalyptic number.

150064680 is a gapful number since it is divisible by the number (10) 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 150064680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227642400).

150064680 is an abundant number, since it is smaller than the sum of its proper divisors (305220120).

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

150064680 is a wasteful number, since it uses less digits than its factorization.

150064680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14154 (or 14150 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 150064680 is about 12250.0889792687. The cubic root of 150064680 is about 531.4056433462.

The spelling of 150064680 in words is "one hundred fifty million, sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5340 10680 14051 28102 42153 56204 70255 84306 112408 140510 168612 210765 281020 337224 421530 562040 843060 1250539 1686120 2501078 3751617 5002156 6252695 7503234 10004312 12505390 15006468 18758085 25010780 30012936 37516170 50021560 75032340 150064680