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2764164 = 2231322947
BaseRepresentation
bin1010100010110110000100
312012102201110
422202312010
51201423124
6135125020
732331534
oct12426604
95172643
102764164
111618837
12b13770
1375a200
1451d4c4
15399029
hex2a2d84

2764164 has 72 divisors (see below), whose sum is σ = 7378560. Its totient is φ = 803712.

The previous prime is 2764147. The next prime is 2764171. The reversal of 2764164 is 4614672.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58789 + ... + 58835.

It is an arithmetic number, because the mean of its divisors is an integer number (102480).

22764164 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 2764164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689280).

2764164 is an abundant number, since it is smaller than the sum of its proper divisors (4614396).

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

2764164 is a wasteful number, since it uses less digits than its factorization.

2764164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2764164 is about 1662.5775169898. The cubic root of 2764164 is about 140.3420885992.

The spelling of 2764164 in words is "two million, seven hundred sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 47 52 58 78 87 94 116 141 156 169 174 188 282 338 348 377 507 564 611 676 754 1014 1131 1222 1363 1508 1833 2028 2262 2444 2726 3666 4089 4524 4901 5452 7332 7943 8178 9802 14703 15886 16356 17719 19604 23829 29406 31772 35438 47658 53157 58812 70876 95316 106314 212628 230347 460694 691041 921388 1382082 2764164