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23315640 = 2335331587
BaseRepresentation
bin101100011110…
…0010010111000
31121212120001020
41120330102320
521432100030
62151422440
7402115425
oct130742270
947776036
1023315640
1112185427
127984a20
134aa464a
14314cd4c
1520a8510
hex163c4b8

23315640 has 64 divisors (see below), whose sum is σ = 70277760. Its totient is φ = 6188160.

The previous prime is 23315639. The next prime is 23315651. The reversal of 23315640 is 4651332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23315640.

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, 39427 + ... + 40013.

It is an arithmetic number, because the mean of its divisors is an integer number (1098090).

Almost surely, 223315640 is an apocalyptic number.

23315640 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 23315640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35138880).

23315640 is an abundant number, since it is smaller than the sum of its proper divisors (46962120).

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

23315640 is a wasteful number, since it uses less digits than its factorization.

23315640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 23315640 is about 4828.6271340827. The cubic root of 23315640 is about 285.6817167638.

Adding to 23315640 its reverse (4651332), we get a palindrome (27966972).

The spelling of 23315640 in words is "twenty-three million, three hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 587 662 993 1174 1324 1655 1761 1986 2348 2648 2935 3310 3522 3972 4696 4965 5870 6620 7044 7944 8805 9930 11740 13240 14088 17610 19860 23480 35220 39720 70440 194297 388594 582891 777188 971485 1165782 1554376 1942970 2331564 2914455 3885940 4663128 5828910 7771880 11657820 23315640