Search a number
-
+
23652864 = 29332959
BaseRepresentation
bin101101000111…
…0101000000000
31122111200122000
41122032220000
522023342424
62202544000
7405021534
oct132165000
948450560
1023652864
1112395824
127b08000
134b91ca1
1431d9bc4
1521233c9
hex168ea00

23652864 has 160 divisors (see below), whose sum is σ = 73656000. Its totient is φ = 7483392.

The previous prime is 23652851. The next prime is 23652877. The reversal of 23652864 is 46825632.

It is an interprime number because it is at equal distance from previous prime (23652851) and next prime (23652877).

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 15 ways as a sum of consecutive naturals, for example, 400867 + ... + 400925.

It is an arithmetic number, because the mean of its divisors is an integer number (460350).

Almost surely, 223652864 is an apocalyptic number.

23652864 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 23652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828000).

23652864 is an abundant number, since it is smaller than the sum of its proper divisors (50003136).

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

23652864 is an equidigital number, since it uses as much as digits as its factorization.

23652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 23652864 is about 4863.4210181723. The cubic root of 23652864 is about 287.0524413797.

The spelling of 23652864 in words is "twenty-three million, six hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 59 64 72 87 96 108 116 118 128 144 174 177 192 216 232 236 256 261 288 348 354 384 432 464 472 512 522 531 576 696 708 768 783 864 928 944 1044 1062 1152 1392 1416 1536 1566 1593 1711 1728 1856 1888 2088 2124 2304 2784 2832 3132 3186 3422 3456 3712 3776 4176 4248 4608 5133 5568 5664 6264 6372 6844 6912 7424 7552 8352 8496 10266 11136 11328 12528 12744 13688 13824 14848 15104 15399 16704 16992 20532 22272 22656 25056 25488 27376 30208 30798 33408 33984 41064 44544 45312 46197 50112 50976 54752 61596 66816 67968 82128 90624 92394 100224 101952 109504 123192 133632 135936 164256 184788 200448 203904 219008 246384 271872 328512 369576 400896 407808 438016 492768 657024 739152 815616 876032 985536 1314048 1478304 1971072 2628096 2956608 3942144 5913216 7884288 11826432 23652864