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23914920 = 23351719617
BaseRepresentation
bin101101100111…
…0100110101000
31200000000002210
41123032212220
522110234140
62212325120
7410162541
oct133164650
950000083
1023914920
11125546a7
1280137a0
134c54353
1432674c8
152175d80
hex16ce9a8

23914920 has 128 divisors (see below), whose sum is σ = 80092800. Its totient is φ = 5677056.

The previous prime is 23914861. The next prime is 23914949. The reversal of 23914920 is 2941932.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38452 + ... + 39068.

It is an arithmetic number, because the mean of its divisors is an integer number (625725).

Almost surely, 223914920 is an apocalyptic number.

23914920 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 23914920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40046400).

23914920 is an abundant number, since it is smaller than the sum of its proper divisors (56177880).

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

23914920 is a wasteful number, since it uses less digits than its factorization.

23914920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 23914920 is about 4890.2883350576. The cubic root of 23914920 is about 288.1086588449.

The spelling of 23914920 in words is "twenty-three million, nine hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 380 408 456 510 570 617 646 680 760 969 1020 1140 1234 1292 1615 1851 1938 2040 2280 2468 2584 3085 3230 3702 3876 4845 4936 6170 6460 7404 7752 9255 9690 10489 11723 12340 12920 14808 18510 19380 20978 23446 24680 31467 35169 37020 38760 41956 46892 52445 58615 62934 70338 74040 83912 93784 104890 117230 125868 140676 157335 175845 199291 209780 234460 251736 281352 314670 351690 398582 419560 468920 597873 629340 703380 797164 996455 1195746 1258680 1406760 1594328 1992910 2391492 2989365 3985820 4782984 5978730 7971640 11957460 23914920