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2315640 = 233523839
BaseRepresentation
bin1000110101010101111000
311100122110110
420311111320
51043100030
6121344320
725453065
oct10652570
94318413
102315640
111341858
129380a0
13631002
14443c6c
1530b1b0
hex235578

2315640 has 64 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 589952.

The previous prime is 2315629. The next prime is 2315641. The reversal of 2315640 is 465132.

It is a happy number.

2315640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2341 + ... + 3179.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22315640 is an apocalyptic number.

2315640 is a gapful number since it is divisible by the number (20) 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 2315640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2315640 is an abundant number, since it is smaller than the sum of its proper divisors (4941960).

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

2315640 is a wasteful number, since it uses less digits than its factorization.

2315640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2315640 is about 1521.7227079859. The cubic root of 2315640 is about 132.2991379279.

The spelling of 2315640 in words is "two million, three hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 839 920 1380 1678 2517 2760 3356 4195 5034 6712 8390 10068 12585 16780 19297 20136 25170 33560 38594 50340 57891 77188 96485 100680 115782 154376 192970 231564 289455 385940 463128 578910 771880 1157820 2315640