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23870496 = 2531331617
BaseRepresentation
bin101101100001…
…1110000100000
31122220202011110
41123003300200
522102323441
62211343320
7406616166
oct133036040
948822143
1023870496
1112524291
127bb1b40
134c3a070
143255236
152167b16
hex16c3c20

23870496 has 96 divisors (see below), whose sum is σ = 69769728. Its totient is φ = 7096320.

The previous prime is 23870491. The next prime is 23870503. The reversal of 23870496 is 69407832.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (23870491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38380 + ... + 38996.

It is an arithmetic number, because the mean of its divisors is an integer number (726768).

Almost surely, 223870496 is an apocalyptic number.

23870496 is a gapful number since it is divisible by the number (26) 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 23870496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34884864).

23870496 is an abundant number, since it is smaller than the sum of its proper divisors (45899232).

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

23870496 is a wasteful number, since it uses less digits than its factorization.

23870496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 23870496 is about 4885.7441603097. The cubic root of 23870496 is about 287.9301528148.

The spelling of 23870496 in words is "twenty-three million, eight hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 617 624 744 806 992 1209 1234 1248 1488 1612 1851 2418 2468 2976 3224 3702 4836 4936 6448 7404 8021 9672 9872 12896 14808 16042 19127 19344 19744 24063 29616 32084 38254 38688 48126 57381 59232 64168 76508 96252 114762 128336 153016 192504 229524 248651 256672 306032 385008 459048 497302 612064 745953 770016 918096 994604 1491906 1836192 1989208 2983812 3978416 5967624 7956832 11935248 23870496