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23421960 = 233457229
BaseRepresentation
bin101100101011…
…0010000001000
31122001221220000
41121112100020
521444000320
62154003000
7403040412
oct131262010
948057800
1023421960
11122482a1
127a16460
134b10b63
1431799b2
1520c9c90
hex1656408

23421960 has 80 divisors (see below), whose sum is σ = 78734700. Its totient is φ = 6244992.

The previous prime is 23421899. The next prime is 23421961. The reversal of 23421960 is 6912432.

It can be written as a sum of positive squares in 2 ways, for example, as 21399876 + 2022084 = 4626^2 + 1422^2 .

It is a super-3 number, since 3×234219603 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23421961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 375 + ... + 6854.

Almost surely, 223421960 is an apocalyptic number.

23421960 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 23421960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39367350).

23421960 is an abundant number, since it is smaller than the sum of its proper divisors (55312740).

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

23421960 is a wasteful number, since it uses less digits than its factorization.

23421960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23421960 is about 4839.6239523335. The cubic root of 23421960 is about 286.1152973766.

The spelling of 23421960 in words is "twenty-three million, four hundred twenty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 7229 14458 21687 28916 36145 43374 57832 65061 72290 86748 108435 130122 144580 173496 195183 216870 260244 289160 325305 390366 433740 520488 585549 650610 780732 867480 975915 1171098 1301220 1561464 1951830 2342196 2602440 2927745 3903660 4684392 5855490 7807320 11710980 23421960