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232964680 = 235135379107
BaseRepresentation
bin11011110001011…
…00001001001000
3121020100211110111
431320230021020
5434114332210
635041124104
75526111214
oct1570541110
9536324414
10232964680
1110a5588a3
1266029634
1339359830
1422d23944
15156bb88a
hexde2c248

232964680 has 128 divisors (see below), whose sum is σ = 587865600. Its totient is φ = 82547712.

The previous prime is 232964671. The next prime is 232964689. The reversal of 232964680 is 86469232.

It is an interprime number because it is at equal distance from previous prime (232964671) and next prime (232964689).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (232964689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2177187 + ... + 2177293.

It is an arithmetic number, because the mean of its divisors is an integer number (4592700).

Almost surely, 2232964680 is an apocalyptic number.

232964680 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 232964680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293932800).

232964680 is an abundant number, since it is smaller than the sum of its proper divisors (354900920).

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

232964680 is a wasteful number, since it uses less digits than its factorization.

232964680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 232964680 is about 15263.1805335585. The cubic root of 232964680 is about 615.3138548286.

The spelling of 232964680 in words is "two hundred thirty-two million, nine hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 79 104 106 107 130 158 212 214 260 265 316 395 424 428 520 530 535 632 689 790 856 1027 1060 1070 1378 1391 1580 2054 2120 2140 2756 2782 3160 3445 4108 4187 4280 5135 5512 5564 5671 6890 6955 8216 8374 8453 10270 11128 11342 13780 13910 16748 16906 20540 20935 22684 27560 27820 28355 33496 33812 41080 41870 42265 45368 54431 55640 56710 67624 73723 83740 84530 108862 109889 113420 147446 167480 169060 217724 219778 226840 272155 294892 338120 368615 435448 439556 448009 544310 549445 589784 737230 879112 896018 1088620 1098890 1474460 1792036 2177240 2197780 2240045 2948920 3584072 4395560 4480090 5824117 8960180 11648234 17920360 23296468 29120585 46592936 58241170 116482340 232964680