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23087680 = 265711937
BaseRepresentation
bin101100000010…
…0101001000000
31121102222100021
41120010221000
521402301210
62142503224
7400146010
oct130045100
947388307
1023087680
111203a130
127894b14
134a24965
1430cdc40
152060bda
hex1604a40

23087680 has 112 divisors (see below), whose sum is σ = 68616576. Its totient is φ = 7188480.

The previous prime is 23087677. The next prime is 23087681. The reversal of 23087680 is 8678032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (23087681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24172 + ... + 25108.

It is an arithmetic number, because the mean of its divisors is an integer number (612648).

Almost surely, 223087680 is an apocalyptic number.

23087680 is a gapful number since it is divisible by the number (20) 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 23087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34308288).

23087680 is an abundant number, since it is smaller than the sum of its proper divisors (45528896).

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

23087680 is a wasteful number, since it uses less digits than its factorization.

23087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 23087680 is about 4804.9640997618. The cubic root of 23087680 is about 284.7476169281.

The spelling of 23087680 in words is "twenty-three million, eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 937 1120 1232 1540 1760 1874 2240 2464 3080 3520 3748 4685 4928 6160 6559 7496 9370 10307 12320 13118 14992 18740 20614 24640 26236 29984 32795 37480 41228 51535 52472 59968 65590 72149 74960 82456 103070 104944 131180 144298 149920 164912 206140 209888 262360 288596 299840 329824 360745 412280 419776 524720 577192 659648 721490 824560 1049440 1154384 1442980 1649120 2098880 2308768 2885960 3298240 4617536 5771920 11543840 23087680