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23286672 = 2432237989
BaseRepresentation
bin101100011010…
…1001110010000
31121211002022100
41120311032100
521430133142
62151040400
7401635113
oct130651620
947732270
1023286672
1112165692
127970100
134a943c6
14314257a
15209eb4c
hex1635390

23286672 has 120 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 7248384.

The previous prime is 23286643. The next prime is 23286709. The reversal of 23286672 is 27668232.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 261604 + ... + 261692.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 223286672 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 23286672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

23286672 is an abundant number, since it is smaller than the sum of its proper divisors (46351728).

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

23286672 is a wasteful number, since it uses less digits than its factorization.

23286672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 23286672 is about 4825.6265914387. The cubic root of 23286672 is about 285.5633547597.

The spelling of 23286672 in words is "twenty-three million, two hundred eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 79 89 92 138 144 158 178 184 207 237 267 276 316 356 368 414 474 534 552 632 711 712 801 828 948 1068 1104 1264 1422 1424 1602 1656 1817 1896 2047 2136 2844 3204 3312 3634 3792 4094 4272 5451 5688 6141 6408 7031 7268 8188 10902 11376 12282 12816 14062 14536 16353 16376 18423 21093 21804 24564 28124 29072 32706 32752 36846 42186 43608 49128 56248 63279 65412 73692 84372 87216 98256 112496 126558 130824 147384 161713 168744 253116 261648 294768 323426 337488 485139 506232 646852 970278 1012464 1293704 1455417 1940556 2587408 2910834 3881112 5821668 7762224 11643336 23286672