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23690112 = 2731719191
BaseRepresentation
bin101101001011…
…1101110000000
31122120120201120
41122113232000
522031040422
62203432240
7405235245
oct132275600
948516646
1023690112
1112410806
127b25680
134ba5c24
1432095cc
15212e45c
hex1697b80

23690112 has 128 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 7004160.

The previous prime is 23690083. The next prime is 23690137. The reversal of 23690112 is 21109632.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×236901122 = 1122442813145088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123937 + ... + 124127.

It is an arithmetic number, because the mean of its divisors is an integer number (550800).

Almost surely, 223690112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

23690112 is an abundant number, since it is smaller than the sum of its proper divisors (46812288).

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

23690112 is a wasteful number, since it uses less digits than its factorization.

23690112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 23690112 is about 4867.2489149416. The cubic root of 23690112 is about 287.2030436023.

Adding to 23690112 its reverse (21109632), we get a palindrome (44799744).

The spelling of 23690112 in words is "twenty-three million, six hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 191 192 204 228 272 304 323 382 384 408 456 544 573 608 646 764 816 912 969 1088 1146 1216 1292 1528 1632 1824 1938 2176 2292 2432 2584 3056 3247 3264 3629 3648 3876 4584 5168 6112 6494 6528 7258 7296 7752 9168 9741 10336 10887 12224 12988 14516 15504 18336 19482 20672 21774 24448 25976 29032 31008 36672 38964 41344 43548 51952 58064 61693 62016 73344 77928 87096 103904 116128 123386 124032 155856 174192 185079 207808 232256 246772 311712 348384 370158 415616 464512 493544 623424 696768 740316 987088 1246848 1393536 1480632 1974176 2961264 3948352 5922528 7896704 11845056 23690112