Search a number
-
+
150701160 = 233519157421
BaseRepresentation
bin10001111101110…
…00010001101000
3101111120102010110
420332320101220
5302034414120
622542014320
73506636661
oct1076702150
9344512113
10150701160
1178081015
12425773a0
13252b60ac
141602c368
15d36c2e0
hex8fb8468

150701160 has 128 divisors (see below), whose sum is σ = 480067200. Its totient is φ = 37739520.

The previous prime is 150701149. The next prime is 150701167. The reversal of 150701160 is 61107051.

It is not an unprimeable number, because it can be changed into a prime (150701167) by changing a digit.

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, 357750 + ... + 358170.

It is an arithmetic number, because the mean of its divisors is an integer number (3750525).

Almost surely, 2150701160 is an apocalyptic number.

150701160 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 150701160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240033600).

150701160 is an abundant number, since it is smaller than the sum of its proper divisors (329366040).

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

150701160 is a wasteful number, since it uses less digits than its factorization.

150701160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 150701160 is about 12276.0400781359. The cubic root of 150701160 is about 532.1558798497.

The spelling of 150701160 in words is "one hundred fifty million, seven hundred one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 157 190 228 285 314 380 421 456 471 570 628 760 785 842 942 1140 1256 1263 1570 1684 1884 2105 2280 2355 2526 2983 3140 3368 3768 4210 4710 5052 5966 6280 6315 7999 8420 8949 9420 10104 11932 12630 14915 15998 16840 17898 18840 23864 23997 25260 29830 31996 35796 39995 44745 47994 50520 59660 63992 66097 71592 79990 89490 95988 119320 119985 132194 159980 178980 191976 198291 239970 264388 319960 330485 357960 396582 479940 528776 660970 793164 959880 991455 1255843 1321940 1586328 1982910 2511686 2643880 3767529 3965820 5023372 6279215 7535058 7931640 10046744 12558430 15070116 18837645 25116860 30140232 37675290 50233720 75350580 150701160