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2315264 = 21071719
BaseRepresentation
bin1000110101010000000000
311100121221112
420311100000
51043042024
6121342452
725452020
oct10652000
94317845
102315264
111341546
12937a28
13630aa3
14443a80
1530b00e
hex235400

2315264 has 88 divisors (see below), whose sum is σ = 5895360. Its totient is φ = 884736.

The previous prime is 2315263. The next prime is 2315317. The reversal of 2315264 is 4625132.

Its product of digits (1440) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121847 + ... + 121865.

22315264 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 2315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947680).

2315264 is an abundant number, since it is smaller than the sum of its proper divisors (3580096).

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

2315264 is a wasteful number, since it uses less digits than its factorization.

2315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 45 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 2315264 is about 1521.5991587800. The cubic root of 2315264 is about 132.2919768884.

The spelling of 2315264 in words is "two million, three hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 128 133 136 152 224 238 256 266 272 304 323 448 476 512 532 544 608 646 896 952 1024 1064 1088 1216 1292 1792 1904 2128 2176 2261 2432 2584 3584 3808 4256 4352 4522 4864 5168 7168 7616 8512 8704 9044 9728 10336 15232 17024 17408 18088 19456 20672 30464 34048 36176 41344 60928 68096 72352 82688 121856 136192 144704 165376 289408 330752 578816 1157632 2315264