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232960 = 295713
BaseRepresentation
bin111000111000000000
3102211120011
4320320000
524423320
64554304
71660120
oct707000
9384504
10232960
1114a032
12b2994
1382060
1460c80
154905a
hex38e00

232960 has 80 divisors (see below), whose sum is σ = 687456. Its totient is φ = 73728.

The previous prime is 232937. The next prime is 232961. The reversal of 232960 is 69232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232961) by changing a digit.

232960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17914 + ... + 17926.

2232960 is an apocalyptic number.

232960 is a gapful number since it is divisible by the number (20) 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 232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728).

232960 is an abundant number, since it is smaller than the sum of its proper divisors (454496).

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

232960 is an equidigital number, since it uses as much as digits as its factorization.

232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 232960 is about 482.6593001279. The cubic root of 232960 is about 61.5309734478.

The spelling of 232960 in words is "two hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 512 520 560 640 728 832 896 910 1040 1120 1280 1456 1664 1792 1820 2080 2240 2560 2912 3328 3584 3640 4160 4480 5824 6656 7280 8320 8960 11648 14560 16640 17920 23296 29120 33280 46592 58240 116480 232960