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2315072 = 2661593
BaseRepresentation
bin1000110101001101000000
311100121200102
420311031000
51043040242
6121341532
725451324
oct10651500
94317612
102315072
111341391
129378a8
13630986
14443984
1530ae32
hex235340

2315072 has 28 divisors (see below), whose sum is σ = 4677156. Its totient is φ = 1136640.

The previous prime is 2315069. The next prime is 2315081. The reversal of 2315072 is 2705132.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 1700416 = 784^2 + 1304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3608 + ... + 4200.

22315072 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 2315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338578).

2315072 is an abundant number, since it is smaller than the sum of its proper divisors (2362084).

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

2315072 is an equidigital number, since it uses as much as digits as its factorization.

2315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 2315072 is about 1521.5360659544. The cubic root of 2315072 is about 132.2883198883.

The spelling of 2315072 in words is "two million, three hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 593 976 1186 1952 2372 3904 4744 9488 18976 36173 37952 72346 144692 289384 578768 1157536 2315072