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23613696 = 283237277
BaseRepresentation
bin101101000010…
…1000100000000
31122102200220100
41122011010000
522021114241
62202042400
7404466411
oct132050400
948380810
1023613696
1112369357
127aa9400
134b7a202
1431c9808
1521169b6
hex1685100

23613696 has 108 divisors (see below), whose sum is σ = 70176652. Its totient is φ = 7630848.

The previous prime is 23613691. The next prime is 23613703. The reversal of 23613696 is 69631632.

It can be written as a sum of positive squares in 2 ways, for example, as 12960000 + 10653696 = 3600^2 + 3264^2 .

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 a self number, because there is not a number n which added to its sum of digits gives 23613696.

It is not an unprimeable number, because it can be changed into a prime (23613691) 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 11 ways as a sum of consecutive naturals, for example, 85110 + ... + 85386.

Almost surely, 223613696 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 23613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35088326).

23613696 is an abundant number, since it is smaller than the sum of its proper divisors (46562956).

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

23613696 is a wasteful number, since it uses less digits than its factorization.

23613696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 319 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 23613696 is about 4859.3925546307. The cubic root of 23613696 is about 286.8939055136.

The spelling of 23613696 in words is "twenty-three million, six hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 277 288 296 333 384 444 554 576 592 666 768 831 888 1108 1152 1184 1332 1662 1776 2216 2304 2368 2493 2664 3324 3552 4432 4736 4986 5328 6648 7104 8864 9472 9972 10249 10656 13296 14208 17728 19944 20498 21312 26592 28416 30747 35456 39888 40996 42624 53184 61494 70912 79776 81992 85248 92241 106368 122988 159552 163984 184482 212736 245976 319104 327968 368964 491952 638208 655936 737928 983904 1311872 1475856 1967808 2623744 2951712 3935616 5903424 7871232 11806848 23613696