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23393040 = 2435118861
BaseRepresentation
bin101100100111…
…1001100010000
31122000111012220
41121033030100
521442034130
62153221040
7402560166
oct131171420
948014186
1023393040
11122285a0
127a01780
134b00948
14316d236
1520c1410
hex164f310

23393040 has 80 divisors (see below), whose sum is σ = 79119936. Its totient is φ = 5670400.

The previous prime is 23393039. The next prime is 23393059. The reversal of 23393040 is 4039332.

It is a tau number, because it is divible by the number of its divisors (80).

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 23393040.

It is an unprimeable number.

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, 1791 + ... + 7070.

Almost surely, 223393040 is an apocalyptic number.

23393040 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 23393040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39559968).

23393040 is an abundant number, since it is smaller than the sum of its proper divisors (55726896).

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

23393040 is a wasteful number, since it uses less digits than its factorization.

23393040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 23393040 is about 4836.6351940166. The cubic root of 23393040 is about 285.9974896678.

The spelling of 23393040 in words is "twenty-three million, three hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 8861 17722 26583 35444 44305 53166 70888 88610 97471 106332 132915 141776 177220 194942 212664 265830 292413 354440 389884 425328 487355 531660 584826 708880 779768 974710 1063320 1169652 1462065 1559536 1949420 2126640 2339304 2924130 3898840 4678608 5848260 7797680 11696520 23393040