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12331616 = 251153661
BaseRepresentation
bin101111000010…
…101001100000
3212012111210112
4233002221200
511124102431
61120150452
7206550143
oct57025140
925174715
1012331616
116a62a20
124168428
132729c1b
1418d005a
151138c2b
hexbc2a60

12331616 has 48 divisors (see below), whose sum is σ = 27025488. Its totient is φ = 5491200.

The previous prime is 12331607. The next prime is 12331621. The reversal of 12331616 is 61613321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12331591 and 12331600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18326 + ... + 18986.

It is an arithmetic number, because the mean of its divisors is an integer number (563031).

Almost surely, 212331616 is an apocalyptic number.

12331616 is a gapful number since it is divisible by the number (16) 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 12331616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512744).

12331616 is an abundant number, since it is smaller than the sum of its proper divisors (14693872).

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

12331616 is a wasteful number, since it uses less digits than its factorization.

12331616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 727 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 12331616 is about 3511.6400726726. The cubic root of 12331616 is about 231.0326347076.

Adding to 12331616 its reverse (61613321), we get a palindrome (73944937).

The spelling of 12331616 in words is "twelve million, three hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 661 848 1166 1322 1696 2332 2644 4664 5288 7271 9328 10576 14542 18656 21152 29084 35033 58168 70066 116336 140132 232672 280264 385363 560528 770726 1121056 1541452 3082904 6165808 12331616