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23663664 = 243419312
BaseRepresentation
bin101101001000…
…1010000110000
31122112020110000
41122101100300
522024214124
62203110000
7405065163
oct132212060
948466400
1023663664
11123a2952
127b12300
134b96b8b
1431ddada
1521266c9
hex1691430

23663664 has 150 divisors (see below), whose sum is σ = 74494860. Its totient is φ = 7231680.

The previous prime is 23663659. The next prime is 23663671. The reversal of 23663664 is 46636632.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 763329 + ... + 763359.

Almost surely, 223663664 is an apocalyptic number.

23663664 is a gapful number since it is divisible by the number (24) 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 23663664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37247430).

23663664 is an abundant number, since it is smaller than the sum of its proper divisors (50831196).

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

23663664 is a wasteful number, since it uses less digits than its factorization.

23663664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 55 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 23663664 is about 4864.5312209914. The cubic root of 23663664 is about 287.0961245272.

The spelling of 23663664 in words is "twenty-three million, six hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 54 57 62 72 76 81 93 108 114 124 144 152 162 171 186 216 228 248 279 304 324 342 372 432 456 496 513 558 589 648 684 744 837 912 961 1026 1116 1178 1296 1368 1488 1539 1674 1767 1922 2052 2232 2356 2511 2736 2883 3078 3348 3534 3844 4104 4464 4712 5022 5301 5766 6156 6696 7068 7688 8208 8649 9424 10044 10602 11532 12312 13392 14136 15376 15903 17298 18259 20088 21204 23064 24624 25947 28272 31806 34596 36518 40176 42408 46128 47709 51894 54777 63612 69192 73036 77841 84816 95418 103788 109554 127224 138384 146072 155682 164331 190836 207576 219108 254448 292144 311364 328662 381672 415152 438216 492993 622728 657324 763344 876432 985986 1245456 1314648 1478979 1971972 2629296 2957958 3943944 5915916 7887888 11831832 23663664