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150775680 = 273511359
BaseRepresentation
bin10001111110010…
…10011110000000
3101111201012100110
420333022132000
5302044310210
622543351320
73510400146
oct1077123600
9344635313
10150775680
1178122000
12425b2540
1325310ca3
141604b596
15d384420
hex8fca780

150775680 has 256 divisors, whose sum is σ = 537580800. Its totient is φ = 35932160.

The previous prime is 150775679. The next prime is 150775693. The reversal of 150775680 is 86577051.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2555491 + ... + 2555549.

It is an arithmetic number, because the mean of its divisors is an integer number (2099925).

Almost surely, 2150775680 is an apocalyptic number.

150775680 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 150775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268790400).

150775680 is an abundant number, since it is smaller than the sum of its proper divisors (386805120).

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

150775680 is an equidigital number, since it uses as much as digits as its factorization.

150775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 150775680 is about 12279.0748837199. The cubic root of 150775680 is about 532.2435803944.

The spelling of 150775680 in words is "one hundred fifty million, seven hundred seventy-five thousand, six hundred eighty".