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2115264 = 26323479
BaseRepresentation
bin1000000100011011000000
310222110121010
420010123000
51020142024
6113200520
723656644
oct10043300
93873533
102115264
111215258
12860140
13590a48
143d0c24
152bbb29
hex2046c0

2115264 has 56 divisors (see below), whose sum is σ = 5852160. Its totient is φ = 673024.

The previous prime is 2115233. The next prime is 2115277. The reversal of 2115264 is 4625112.

It is a self number, because there is not a number n which added to its sum of digits gives 2115264.

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, 4177 + ... + 4655.

22115264 is an apocalyptic number.

2115264 is a gapful number since it is divisible by the number (24) 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 2115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926080).

2115264 is an abundant number, since it is smaller than the sum of its proper divisors (3736896).

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

2115264 is a wasteful number, since it uses less digits than its factorization.

2115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 2115264 is about 1454.3947194624. The cubic root of 2115264 is about 128.3674338271.

The spelling of 2115264 in words is "two million, one hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 479 552 736 958 1104 1437 1472 1916 2208 2874 3832 4416 5748 7664 11017 11496 15328 22034 22992 30656 33051 44068 45984 66102 88136 91968 132204 176272 264408 352544 528816 705088 1057632 2115264