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23457240 = 23325232833
BaseRepresentation
bin101100101111…
…0110111011000
31122010202021200
41121132313120
522001112430
62154434200
7403245312
oct131366730
948122250
1023457240
1112271854
127a32960
134b23c31
1431887b2
1520d5460
hex165edd8

23457240 has 96 divisors (see below), whose sum is σ = 79578720. Its totient is φ = 5981184.

The previous prime is 23457227. The next prime is 23457241. The reversal of 23457240 is 4275432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23457241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6864 + ... + 9696.

It is an arithmetic number, because the mean of its divisors is an integer number (828945).

Almost surely, 223457240 is an apocalyptic number.

23457240 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 23457240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39789360).

23457240 is an abundant number, since it is smaller than the sum of its proper divisors (56121480).

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

23457240 is a wasteful number, since it uses less digits than its factorization.

23457240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 23457240 is about 4843.2674920966. The cubic root of 23457240 is about 286.2588817696.

The spelling of 23457240 in words is "twenty-three million, four hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 2833 4140 5666 8280 8499 11332 14165 16998 22664 25497 28330 33996 42495 50994 56660 65159 67992 84990 101988 113320 127485 130318 169980 195477 203976 254970 260636 325795 339960 390954 509940 521272 586431 651590 781908 977385 1019880 1172862 1303180 1563816 1954770 2345724 2606360 2932155 3909540 4691448 5864310 7819080 11728620 23457240