Search a number
-
+
150768680 = 23523295651
BaseRepresentation
bin10001111110010…
…00110000101000
3101111200211202012
420333020300220
5302044044210
622543255052
73510340556
oct1077106050
9344624665
10150768680
1178117817
12425aa488
132530aa4a
1416048bd6
15d382305
hex8fc8c28

150768680 has 64 divisors (see below), whose sum is σ = 366249600. Its totient is φ = 55686400.

The previous prime is 150768679. The next prime is 150768701. The reversal of 150768680 is 86867051.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23855 + ... + 29505.

It is an arithmetic number, because the mean of its divisors is an integer number (5722650).

Almost surely, 2150768680 is an apocalyptic number.

150768680 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 150768680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183124800).

150768680 is an abundant number, since it is smaller than the sum of its proper divisors (215480920).

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

150768680 is a wasteful number, since it uses less digits than its factorization.

150768680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 150768680 is about 12278.7898426514. The cubic root of 150768680 is about 532.2353435162.

The spelling of 150768680 in words is "one hundred fifty million, seven hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 460 580 667 920 1160 1334 2668 3335 5336 5651 6670 11302 13340 22604 26680 28255 45208 56510 113020 129973 163879 226040 259946 327758 519892 649865 655516 819395 1039784 1299730 1311032 1638790 2599460 3277580 3769217 5198920 6555160 7538434 15076868 18846085 30153736 37692170 75384340 150768680