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2664636 = 22313192931
BaseRepresentation
bin1010001010100010111100
312000101012020
422022202330
51140232021
6133040140
731435422
oct12124274
95011166
102664636
11155aa87
12a86050
13723b10
144d5112
153797c6
hex28a8bc

2664636 has 96 divisors (see below), whose sum is σ = 7526400. Its totient is φ = 725760.

The previous prime is 2664601. The next prime is 2664643. The reversal of 2664636 is 6364662.

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

It is a junction number, because it is equal to n+sod(n) for n = 2664597 and 2664606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85941 + ... + 85971.

It is an arithmetic number, because the mean of its divisors is an integer number (78400).

22664636 is an apocalyptic number.

2664636 is a gapful number since it is divisible by the number (26) 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 2664636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763200).

2664636 is an abundant number, since it is smaller than the sum of its proper divisors (4861764).

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

2664636 is a wasteful number, since it uses less digits than its factorization.

2664636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 2664636 is about 1632.3712812960. The cubic root of 2664636 is about 138.6370462908.

The spelling of 2664636 in words is "two million, six hundred sixty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 19 26 29 31 38 39 52 57 58 62 76 78 87 93 114 116 124 156 174 186 228 247 348 372 377 403 494 551 589 741 754 806 899 988 1102 1131 1178 1209 1482 1508 1612 1653 1767 1798 2204 2262 2356 2418 2697 2964 3306 3534 3596 4524 4836 5394 6612 7068 7163 7657 10788 11687 14326 15314 17081 21489 22971 23374 28652 30628 34162 35061 42978 45942 46748 51243 68324 70122 85956 91884 102486 140244 204972 222053 444106 666159 888212 1332318 2664636