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23392980 = 22325132769
BaseRepresentation
bin101100100111…
…1001011010100
31122000111010200
41121033023110
521442033410
62153220500
7402560052
oct131171324
948014120
1023392980
1112228546
127a01730
134b00900
14316d1d2
1520c13c0
hex164f2d4

23392980 has 108 divisors (see below), whose sum is σ = 76936860. Its totient is φ = 5750784.

The previous prime is 23392979. The next prime is 23392987. The reversal of 23392980 is 8929332.

It can be written as a sum of positive squares in 6 ways, for example, as 5702544 + 17690436 = 2388^2 + 4206^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23392987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30036 + ... + 30804.

Almost surely, 223392980 is an apocalyptic number.

23392980 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 23392980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38468430).

23392980 is an abundant number, since it is smaller than the sum of its proper divisors (53543880).

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

23392980 is a wasteful number, since it uses less digits than its factorization.

23392980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 23392980 is about 4836.6289913534. The cubic root of 23392980 is about 285.9972451525.

The spelling of 23392980 in words is "twenty-three million, three hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 769 780 845 1014 1170 1521 1538 1690 2028 2307 2340 2535 3042 3076 3380 3845 4614 5070 6084 6921 7605 7690 9228 9997 10140 11535 13842 15210 15380 19994 23070 27684 29991 30420 34605 39988 46140 49985 59982 69210 89973 99970 119964 129961 138420 149955 179946 199940 259922 299910 359892 389883 449865 519844 599820 649805 779766 899730 1169649 1299610 1559532 1799460 1949415 2339298 2599220 3898830 4678596 5848245 7797660 11696490 23392980