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68931360 = 2532547869
BaseRepresentation
bin1000001101111…
…00111100100000
311210201002001100
410012330330200
5120121300420
610501234400
71464623031
oct406747440
9153632040
1068931360
1135a01173
121b102a00
13113862b4
149224a88
1560b9190
hex41bcf20

68931360 has 72 divisors (see below), whose sum is σ = 235233180. Its totient is φ = 18381312.

The previous prime is 68931353. The next prime is 68931367. The reversal of 68931360 is 6313986.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68931353) and next prime (68931367).

It can be written as a sum of positive squares in 2 ways, for example, as 68359824 + 571536 = 8268^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68931367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22495 + ... + 25374.

Almost surely, 268931360 is an apocalyptic number.

68931360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68931360 is an abundant number, since it is smaller than the sum of its proper divisors (166301820).

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

68931360 is a wasteful number, since it uses less digits than its factorization.

68931360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47890 (or 47879 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 68931360 is about 8302.4911924073. The cubic root of 68931360 is about 410.0205422981.

The spelling of 68931360 in words is "sixty-eight million, nine hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 47869 95738 143607 191476 239345 287214 382952 430821 478690 574428 718035 765904 861642 957380 1148856 1436070 1531808 1723284 1914760 2154105 2297712 2872140 3446568 3829520 4308210 4595424 5744280 6893136 7659040 8616420 11488560 13786272 17232840 22977120 34465680 68931360