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23042124 = 22337291051
BaseRepresentation
bin101011111100…
…1100001001100
31121100122212000
41113321201030
521344321444
62141512300
7366566130
oct127714114
947318760
1023042124
1112008986
127872690
134a09cc1
1430bb3c0
152052469
hex15f984c

23042124 has 96 divisors (see below), whose sum is σ = 70694400. Its totient is φ = 6350400.

The previous prime is 23042119. The next prime is 23042137. The reversal of 23042124 is 42124032.

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

It is a junction number, because it is equal to n+sod(n) for n = 23042097 and 23042106.

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, 21399 + ... + 22449.

It is an arithmetic number, because the mean of its divisors is an integer number (736400).

Almost surely, 223042124 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 23042124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35347200).

23042124 is an abundant number, since it is smaller than the sum of its proper divisors (47652276).

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

23042124 is a wasteful number, since it uses less digits than its factorization.

23042124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23042124 is about 4800.2212449011. The cubic root of 23042124 is about 284.5602081199.

Adding to 23042124 its reverse (42124032), we get a palindrome (65166156).

The spelling of 23042124 in words is "twenty-three million, forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1051 1218 1566 1827 2102 2436 3132 3153 3654 4204 5481 6306 7308 7357 9459 10962 12612 14714 18918 21924 22071 28377 29428 30479 37836 44142 56754 60958 66213 88284 91437 113508 121916 132426 182874 198639 213353 264852 274311 365748 397278 426706 548622 640059 794556 822933 853412 1097244 1280118 1645866 1920177 2560236 3291732 3840354 5760531 7680708 11521062 23042124