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75104664 = 233292612
BaseRepresentation
bin1000111101000…
…00000110011000
312020022201020020
410132200012120
5123211322124
611241430440
71601244015
oct436400630
9166281206
1075104664
1139438278
122119b420
131273813b
149d9070c
1568d8379
hex47a0198

75104664 has 72 divisors (see below), whose sum is σ = 197699580. Its totient is φ = 23775360.

The previous prime is 75104651. The next prime is 75104677. The reversal of 75104664 is 46640157.

It is an interprime number because it is at equal distance from previous prime (75104651) and next prime (75104677).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1231194 + ... + 1231254.

Almost surely, 275104664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75104664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98849790).

75104664 is an abundant number, since it is smaller than the sum of its proper divisors (122594916).

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

75104664 is a wasteful number, since it uses less digits than its factorization.

75104664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 75104664 is about 8666.2947099669. The cubic root of 75104664 is about 421.9124126601.

The spelling of 75104664 in words is "seventy-five million, one hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 61 87 116 122 174 183 232 244 348 366 488 696 732 841 1464 1682 1769 2523 3364 3538 3721 5046 5307 6728 7076 7442 10092 10614 11163 14152 14884 20184 21228 22326 29768 42456 44652 51301 89304 102602 107909 153903 205204 215818 307806 323727 410408 431636 615612 647454 863272 1231224 1294908 2589816 3129361 6258722 9388083 12517444 18776166 25034888 37552332 75104664