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23481920 = 265711953
BaseRepresentation
bin101100110010…
…0111001000000
31122012000010202
41121210321000
522002410140
62155144332
7403410260
oct131447100
948160122
1023481920
1112289350
127a450a8
134b32237
1431937a0
1520dc915
hex1664e40

23481920 has 112 divisors (see below), whose sum is σ = 69787008. Its totient is φ = 7311360.

The previous prime is 23481907. The next prime is 23481923. The reversal of 23481920 is 2918432.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (23481923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24164 + ... + 25116.

Almost surely, 223481920 is an apocalyptic number.

23481920 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 23481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34893504).

23481920 is an abundant number, since it is smaller than the sum of its proper divisors (46305088).

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

23481920 is a wasteful number, since it uses less digits than its factorization.

23481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 23481920 is about 4845.8146889868. The cubic root of 23481920 is about 286.3592401655.

The spelling of 23481920 in words is "twenty-three million, four hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 953 1120 1232 1540 1760 1906 2240 2464 3080 3520 3812 4765 4928 6160 6671 7624 9530 10483 12320 13342 15248 19060 20966 24640 26684 30496 33355 38120 41932 52415 53368 60992 66710 73381 76240 83864 104830 106736 133420 146762 152480 167728 209660 213472 266840 293524 304960 335456 366905 419320 426944 533680 587048 670912 733810 838640 1067360 1174096 1467620 1677280 2134720 2348192 2935240 3354560 4696384 5870480 11740960 23481920