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16264956 = 22323311901
BaseRepresentation
bin111110000010…
…111011111100
31010121100022210
4332002323330
513130434311
61340340420
7255151461
oct76027374
933540283
1016264956
1191aa114
125544710
1334a6346
142235668
1516643a6
hexf82efc

16264956 has 48 divisors (see below), whose sum is σ = 40900608. Its totient is φ = 5016000.

The previous prime is 16264909. The next prime is 16264967. The reversal of 16264956 is 65946261.

16264956 is a nontrivial binomial coefficient, being equal to C(5704, 2).

It is a plaindrome in base 14.

It is a congruent number.

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, 7606 + ... + 9506.

It is an arithmetic number, because the mean of its divisors is an integer number (852096).

Almost surely, 216264956 is an apocalyptic number.

16264956 is the 5703-rd triangular number and also the 2852-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16264956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20450304).

16264956 is an abundant number, since it is smaller than the sum of its proper divisors (24635652).

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

16264956 is a wasteful number, since it uses less digits than its factorization.

16264956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1960 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 16264956 is about 4032.9835110003. The cubic root of 16264956 is about 253.3675338560.

The spelling of 16264956 in words is "sixteen million, two hundred sixty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 1901 2139 2852 3802 4278 5703 7604 8556 11406 22812 43723 58931 87446 117862 131169 174892 176793 235724 262338 353586 524676 707172 1355413 2710826 4066239 5421652 8132478 16264956