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23040432 = 243243612
BaseRepresentation
bin101011111100…
…1000110110000
31121100120112100
41113321012300
521344243212
62141500400
7366561162
oct127710660
947316470
1023040432
1112007688
127871700
134a092bc
1430ba932
152051bdc
hex15f91b0

23040432 has 90 divisors (see below), whose sum is σ = 67080156. Its totient is φ = 7378560.

The previous prime is 23040431. The next prime is 23040439. The reversal of 23040432 is 23404032.

23040432 is a `hidden beast` number, since 230 + 4 + 0 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23040431) 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 17 ways as a sum of consecutive naturals, for example, 377682 + ... + 377742.

Almost surely, 223040432 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 23040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33540078).

23040432 is an abundant number, since it is smaller than the sum of its proper divisors (44039724).

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

23040432 is a wasteful number, since it uses less digits than its factorization.

23040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23040432 is about 4800.0449997891. The cubic root of 23040432 is about 284.5532427947.

Adding to 23040432 its reverse (23404032), we get a palindrome (46444464).

The spelling of 23040432 in words is "twenty-three million, forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 61 72 86 122 129 144 172 183 244 258 344 366 387 488 516 549 688 732 774 976 1032 1098 1464 1548 2064 2196 2623 2928 3096 3721 4392 5246 6192 7442 7869 8784 10492 11163 14884 15738 20984 22326 23607 29768 31476 33489 41968 44652 47214 59536 62952 66978 89304 94428 125904 133956 160003 178608 188856 267912 320006 377712 480009 535824 640012 960018 1280024 1440027 1920036 2560048 2880054 3840072 5760108 7680144 11520216 23040432