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23492920 = 23511107499
BaseRepresentation
bin101100110011…
…1100100111000
31122012120020011
41121213210320
522003233140
62155311304
7403454323
oct131474470
948176204
1023492920
1112296640
127a4b534
134b37249
1431977ba
1520e0cea
hex1667938

23492920 has 64 divisors (see below), whose sum is σ = 58320000. Its totient is φ = 8446080.

The previous prime is 23492899. The next prime is 23492927. The reversal of 23492920 is 2929432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23492927) 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 15 ways as a sum of consecutive naturals, for example, 46831 + ... + 47329.

It is an arithmetic number, because the mean of its divisors is an integer number (911250).

Almost surely, 223492920 is an apocalyptic number.

23492920 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 23492920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29160000).

23492920 is an abundant number, since it is smaller than the sum of its proper divisors (34827080).

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

23492920 is a wasteful number, since it uses less digits than its factorization.

23492920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 23492920 is about 4846.9495561642. The cubic root of 23492920 is about 286.4039477520.

The spelling of 23492920 in words is "twenty-three million, four hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 499 535 856 998 1070 1177 1996 2140 2354 2495 3992 4280 4708 4990 5489 5885 9416 9980 10978 11770 19960 21956 23540 27445 43912 47080 53393 54890 106786 109780 213572 219560 266965 427144 533930 587323 1067860 1174646 2135720 2349292 2936615 4698584 5873230 11746460 23492920