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36013164 = 223111092503
BaseRepresentation
bin1000100101100…
…0010001101100
32111202122202220
42021120101230
533204410124
63323515340
7615051435
oct211302154
974678686
1036013164
1119368250
1210088b50
1375cbc85
144ad648c
153265879
hex225846c

36013164 has 48 divisors (see below), whose sum is σ = 92547840. Its totient is φ = 10808640.

The previous prime is 36013141. The next prime is 36013181. The reversal of 36013164 is 46131063.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13137 + ... + 15639.

It is an arithmetic number, because the mean of its divisors is an integer number (1928080).

Almost surely, 236013164 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 36013164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46273920).

36013164 is an abundant number, since it is smaller than the sum of its proper divisors (56534676).

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

36013164 is a wasteful number, since it uses less digits than its factorization.

36013164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 36013164 is about 6001.0968997342. The cubic root of 36013164 is about 330.2329668092.

The spelling of 36013164 in words is "thirty-six million, thirteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1308 2398 2503 3597 4796 5006 7194 7509 10012 14388 15018 27533 30036 55066 82599 110132 165198 272827 330396 545654 818481 1091308 1636962 3001097 3273924 6002194 9003291 12004388 18006582 36013164