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68833128 = 23371331517
BaseRepresentation
bin1000001101001…
…00111101101000
311210112002022010
410012210331220
5120110130003
610455155520
71464033450
oct406447550
9153462263
1068833128
1135944391
121b075ba0
1311350680
1491dad60
15609a003
hex41a4f68

68833128 has 64 divisors (see below), whose sum is σ = 211800960. Its totient is φ = 18153216.

The previous prime is 68833123. The next prime is 68833129. The reversal of 68833128 is 82133886.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68833123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13575 + ... + 17942.

It is an arithmetic number, because the mean of its divisors is an integer number (3309390).

Almost surely, 268833128 is an apocalyptic number.

It is an amenable number.

68833128 is an abundant number, since it is smaller than the sum of its proper divisors (142967832).

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

68833128 is a wasteful number, since it uses less digits than its factorization.

68833128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31546 (or 31542 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 68833128 is about 8296.5732685248. The cubic root of 68833128 is about 409.8256804063.

It can be divided in two parts, 6883 and 3128, that added together give a triangular number (10011 = T141).

The spelling of 68833128 in words is "sixty-eight million, eight hundred thirty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 31517 63034 94551 126068 189102 220619 252136 378204 409721 441238 661857 756408 819442 882476 1229163 1323714 1638884 1764952 2458326 2647428 2868047 3277768 4916652 5294856 5736094 8604141 9833304 11472188 17208282 22944376 34416564 68833128