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23320872 = 2334172973
BaseRepresentation
bin101100011110…
…1100100101000
31121212211020000
41120331210220
521432231442
62151503000
7402136611
oct130754450
947784200
1023320872
1112189353
127987a60
134aa6b43
143150c08
1520a9d4c
hex163d928

23320872 has 160 divisors (see below), whose sum is σ = 72527400. Its totient is φ = 6967296.

The previous prime is 23320861. The next prime is 23320933. The reversal of 23320872 is 27802332.

It can be written as a sum of positive squares in 4 ways, for example, as 22410756 + 910116 = 4734^2 + 954^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319428 + ... + 319500.

Almost surely, 223320872 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 23320872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36263700).

23320872 is an abundant number, since it is smaller than the sum of its proper divisors (49206528).

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

23320872 is a wasteful number, since it uses less digits than its factorization.

23320872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23320872 is about 4829.1688725908. The cubic root of 23320872 is about 285.7030840370.

The spelling of 23320872 in words is "twenty-three million, three hundred twenty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 29 34 36 51 54 58 68 72 73 81 87 102 108 116 136 146 153 162 174 204 216 219 232 261 292 306 324 348 408 438 459 493 522 584 612 648 657 696 783 876 918 986 1044 1224 1241 1314 1377 1479 1566 1752 1836 1971 1972 2088 2117 2349 2482 2628 2754 2958 3132 3672 3723 3942 3944 4234 4437 4698 4964 5256 5508 5913 5916 6264 6351 7446 7884 8468 8874 9396 9928 11016 11169 11826 11832 12702 13311 14892 15768 16936 17748 18792 19053 22338 23652 25404 26622 29784 33507 35496 35989 38106 39933 44676 47304 50808 53244 57159 67014 71978 76212 79866 89352 100521 106488 107967 114318 134028 143956 152424 159732 171477 201042 215934 228636 268056 287912 319464 323901 342954 402084 431868 457272 647802 685908 804168 863736 971703 1295604 1371816 1943406 2591208 2915109 3886812 5830218 7773624 11660436 23320872