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23243520 = 28356053
BaseRepresentation
bin101100010101…
…0101100000000
31121201220010010
41120222230000
521422243040
62150104520
7401365236
oct130525400
947656103
1023243520
1112136223
12794b140
134a7a881
143130956
152091e80
hex162ab00

23243520 has 72 divisors (see below), whose sum is σ = 74246256. Its totient is φ = 6197248.

The previous prime is 23243497. The next prime is 23243543. The reversal of 23243520 is 2534232.

It is an interprime number because it is at equal distance from previous prime (23243497) and next prime (23243543).

It is a super-2 number, since 2×232435202 = 1080522443980800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 814 + ... + 6866.

It is an arithmetic number, because the mean of its divisors is an integer number (1031198).

Almost surely, 223243520 is an apocalyptic number.

23243520 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 23243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37123128).

23243520 is an abundant number, since it is smaller than the sum of its proper divisors (51002736).

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

23243520 is an equidigital number, since it uses as much as digits as its factorization.

23243520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 23243520 is about 4821.1533889724. The cubic root of 23243520 is about 285.3868553824.

Adding to 23243520 its reverse (2534232), we get a palindrome (25777752).

The spelling of 23243520 in words is "twenty-three million, two hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 6053 12106 18159 24212 30265 36318 48424 60530 72636 90795 96848 121060 145272 181590 193696 242120 290544 363180 387392 484240 581088 726360 774784 968480 1162176 1452720 1549568 1936960 2324352 2905440 3873920 4648704 5810880 7747840 11621760 23243520