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12173664 = 253173733
BaseRepresentation
bin101110011100…
…000101100000
3211220111010110
4232130011200
511104024124
61112531320
7205321506
oct56340540
924814113
1012173664
116965288
1240b0b40
1326a3069
14188c676
151107029
hexb9c160

12173664 has 48 divisors (see below), whose sum is σ = 32184432. Its totient is φ = 4028928.

The previous prime is 12173657. The next prime is 12173671. The reversal of 12173664 is 46637121.

It is an interprime number because it is at equal distance from previous prime (12173657) and next prime (12173671).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16242 + ... + 16974.

It is an arithmetic number, because the mean of its divisors is an integer number (670509).

Almost surely, 212173664 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 12173664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16092216).

12173664 is an abundant number, since it is smaller than the sum of its proper divisors (20010768).

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

12173664 is a wasteful number, since it uses less digits than its factorization.

12173664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 12173664 is about 3489.0778151254. The cubic root of 12173664 is about 230.0419835143.

The spelling of 12173664 in words is "twelve million, one hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 733 1038 1384 1466 2076 2199 2768 2932 4152 4398 5536 5864 8304 8796 11728 16608 17592 23456 35184 70368 126809 253618 380427 507236 760854 1014472 1521708 2028944 3043416 4057888 6086832 12173664