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23421792 = 2532947179
BaseRepresentation
bin101100101011…
…0001101100000
31122001221122210
41121112031200
521443444132
62154002120
7403040052
oct131261540
948057583
1023421792
1112248159
127a16340
134b10a64
1431798d2
1520c9bcc
hex1656360

23421792 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 7336448.

The previous prime is 23421791. The next prime is 23421803. The reversal of 23421792 is 29712432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23421791) by changing a digit.

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, 130759 + ... + 130937.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 223421792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23421792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

23421792 is an abundant number, since it is smaller than the sum of its proper divisors (41896608).

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

23421792 is a wasteful number, since it uses less digits than its factorization.

23421792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 23421792 is about 4839.6065955819. The cubic root of 23421792 is about 286.1146132966.

The spelling of 23421792 in words is "twenty-three million, four hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 87 94 96 116 141 174 179 188 232 282 348 358 376 464 537 564 696 716 752 928 1074 1128 1363 1392 1432 1504 2148 2256 2726 2784 2864 4089 4296 4512 5191 5452 5728 8178 8413 8592 10382 10904 15573 16356 16826 17184 20764 21808 25239 31146 32712 33652 41528 43616 50478 62292 65424 67304 83056 100956 124584 130848 134608 166112 201912 243977 249168 269216 403824 487954 498336 731931 807648 975908 1463862 1951816 2927724 3903632 5855448 7807264 11710896 23421792