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23990616 = 23321319271
BaseRepresentation
bin101101110000…
…1000101011000
31200010211221100
41123201011120
522120144431
62214111400
7410626326
oct133410530
950124840
1023990616
11125a6561
12804b560
134c7c940
143286d16
15218d4e6
hex16e1158

23990616 has 144 divisors (see below), whose sum is σ = 74889360. Its totient is φ = 6894720.

The previous prime is 23990611. The next prime is 23990651. The reversal of 23990616 is 61609932.

23990616 is a `hidden beast` number, since 2 + 39 + 9 + 0 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23990611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337861 + ... + 337931.

It is an arithmetic number, because the mean of its divisors is an integer number (520065).

Almost surely, 223990616 is an apocalyptic number.

23990616 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 23990616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37444680).

23990616 is an abundant number, since it is smaller than the sum of its proper divisors (50898744).

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

23990616 is a wasteful number, since it uses less digits than its factorization.

23990616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 23990616 is about 4898.0216414385. The cubic root of 23990616 is about 288.4123145218.

The spelling of 23990616 in words is "twenty-three million, nine hundred ninety thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 71 72 76 78 104 114 117 142 152 156 171 213 228 234 247 284 312 342 361 426 456 468 494 568 639 684 722 741 852 923 936 988 1083 1278 1349 1368 1444 1482 1704 1846 1976 2166 2223 2556 2698 2769 2888 2964 3249 3692 4047 4332 4446 4693 5112 5396 5538 5928 6498 7384 8094 8307 8664 8892 9386 10792 11076 12141 12996 14079 16188 16614 17537 17784 18772 22152 24282 25631 25992 28158 32376 33228 35074 37544 42237 48564 51262 52611 56316 66456 70148 76893 84474 97128 102524 105222 112632 140296 153786 157833 168948 205048 210444 230679 307572 315666 333203 337896 420888 461358 615144 631332 666406 922716 999609 1262664 1332812 1845432 1999218 2665624 2998827 3998436 5997654 7996872 11995308 23990616