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23513868 = 22337191637
BaseRepresentation
bin101100110110…
…0101100001100
31122020121222000
41121230230030
522004420433
62155552300
7403602360
oct131545414
948217860
1023513868
1112300354
127a5b690
134b43941
1431a12a0
1520e7113
hex166cb0c

23513868 has 96 divisors (see below), whose sum is σ = 73382400. Its totient is φ = 6360768.

The previous prime is 23513863. The next prime is 23513879. The reversal of 23513868 is 86831532.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23513863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13546 + ... + 15182.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 223513868 is an apocalyptic number.

23513868 is a gapful number since it is divisible by the number (28) 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 23513868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).

23513868 is an abundant number, since it is smaller than the sum of its proper divisors (49868532).

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

23513868 is a wasteful number, since it uses less digits than its factorization.

23513868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1668 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 23513868 is about 4849.1100214369. The cubic root of 23513868 is about 286.4890486754.

The spelling of 23513868 in words is "twenty-three million, five hundred thirteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 1637 2052 2394 3274 3591 4788 4911 6548 7182 9822 11459 14364 14733 19644 22918 29466 31103 34377 44199 45836 58932 62206 68754 88398 93309 103131 124412 137508 176796 186618 206262 217721 279927 309393 373236 412524 435442 559854 618786 653163 839781 870884 1119708 1237572 1306326 1679562 1959489 2612652 3359124 3918978 5878467 7837956 11756934 23513868