Search a number
-
+
232978560 = 2735121343
BaseRepresentation
bin11011110001011…
…11100010000000
3121020101112111120
431320233202000
5434120303220
635041312240
75526166533
oct1570574200
9536345446
10232978560
1110a568271
1266035680
1339362c49
1422d28a1a
15156c0a40
hexde2f880

232978560 has 64 divisors (see below), whose sum is σ = 742625280. Its totient is φ = 62127104.

The previous prime is 232978549. The next prime is 232978561. The reversal of 232978560 is 65879232.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (232978561) 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 7 ways as a sum of consecutive naturals, for example, 58752 + ... + 62591.

It is an arithmetic number, because the mean of its divisors is an integer number (11603520).

Almost surely, 2232978560 is an apocalyptic number.

232978560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232978560 is an abundant number, since it is smaller than the sum of its proper divisors (509646720).

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

232978560 is a wasteful number, since it uses less digits than its factorization.

232978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121365 (or 121353 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 232978560 is about 15263.6352157669. The cubic root of 232978560 is about 615.3260746877.

The spelling of 232978560 in words is "two hundred thirty-two million, nine hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 121343 242686 364029 485372 606715 728058 970744 1213430 1456116 1820145 1941488 2426860 2912232 3640290 3882976 4853720 5824464 7280580 7765952 9707440 11648928 14561160 15531904 19414880 23297856 29122320 38829760 46595712 58244640 77659520 116489280 232978560