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23396640 = 253579617
BaseRepresentation
bin101100101000…
…0000100100000
31122000200011020
41121100010200
521442143030
62153245440
7402603531
oct131200440
948020136
1023396640
1112230273
127a03880
134b02487
143170688
1520c2510
hex1650120

23396640 has 96 divisors (see below), whose sum is σ = 74753280. Its totient is φ = 6150144.

The previous prime is 23396623. The next prime is 23396669. The reversal of 23396640 is 4669332.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37612 + ... + 38228.

It is an arithmetic number, because the mean of its divisors is an integer number (778680).

Almost surely, 223396640 is an apocalyptic number.

23396640 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 23396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37376640).

23396640 is an abundant number, since it is smaller than the sum of its proper divisors (51356640).

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

23396640 is a wasteful number, since it uses less digits than its factorization.

23396640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 23396640 is about 4837.0073392543. The cubic root of 23396640 is about 286.0121598168.

The spelling of 23396640 in words is "twenty-three million, three hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 480 617 632 790 948 1185 1234 1264 1580 1851 1896 2370 2468 2528 3085 3160 3702 3792 4740 4936 6170 6320 7404 7584 9255 9480 9872 12340 12640 14808 18510 18960 19744 24680 29616 37020 37920 48743 49360 59232 74040 97486 98720 146229 148080 194972 243715 292458 296160 389944 487430 584916 731145 779888 974860 1169832 1462290 1559776 1949720 2339664 2924580 3899440 4679328 5849160 7798880 11698320 23396640