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23076648 = 23327231211
BaseRepresentation
bin101100000000…
…1111100101000
31121102102012200
41120001330220
521401423043
62142340200
7400101600
oct130017450
947372180
1023076648
1112031911
12788a660
134a1c92a
1430c9c00
15205c7d3
hex1601f28

23076648 has 144 divisors (see below), whose sum is σ = 75404160. Its totient is φ = 6350400.

The previous prime is 23076629. The next prime is 23076661. The reversal of 23076648 is 84667032.

23076648 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 6 + 648 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109263 + ... + 109473.

It is an arithmetic number, because the mean of its divisors is an integer number (523640).

Almost surely, 223076648 is an apocalyptic number.

23076648 is a gapful number since it is divisible by the number (28) 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 23076648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37702080).

23076648 is an abundant number, since it is smaller than the sum of its proper divisors (52327512).

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

23076648 is a wasteful number, since it uses less digits than its factorization.

23076648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

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

The square root of 23076648 is about 4803.8159831534. The cubic root of 23076648 is about 284.7022559941.

The spelling of 23076648 in words is "twenty-three million, seventy-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 211 217 248 252 279 294 372 392 422 434 441 504 558 588 633 651 744 844 868 882 1116 1176 1266 1302 1477 1519 1688 1736 1764 1899 1953 2232 2532 2604 2954 3038 3528 3798 3906 4431 4557 5064 5208 5908 6076 6541 7596 7812 8862 9114 10339 11816 12152 13082 13293 13671 15192 15624 17724 18228 19623 20678 26164 26586 27342 31017 35448 36456 39246 41356 45787 52328 53172 54684 58869 62034 78492 82712 91574 93051 106344 109368 117738 124068 137361 156984 183148 186102 235476 248136 274722 320509 366296 372204 412083 470952 549444 641018 744408 824166 961527 1098888 1282036 1648332 1923054 2564072 2884581 3296664 3846108 5769162 7692216 11538324 23076648