Search a number
-
+
23709696 = 211317227
BaseRepresentation
bin101101001110…
…0100000000000
31122121120120220
41122130200000
522032202241
62204103040
7405346323
oct132344000
948546526
1023709696
111242449a
127b34a80
134bb1b0a
1432127ba
152135166
hex169c800

23709696 has 96 divisors (see below), whose sum is σ = 67223520. Its totient is φ = 7405568.

The previous prime is 23709677. The next prime is 23709703. The reversal of 23709696 is 69690732.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104335 + ... + 104561.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 223709696 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 23709696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

23709696 is an abundant number, since it is smaller than the sum of its proper divisors (43513824).

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

23709696 is a wasteful number, since it uses less digits than its factorization.

23709696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 23709696 is about 4869.2603134357. The cubic root of 23709696 is about 287.2821629021.

The spelling of 23709696 in words is "twenty-three million, seven hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 227 256 272 384 408 454 512 544 681 768 816 908 1024 1088 1362 1536 1632 1816 2048 2176 2724 3072 3264 3632 3859 4352 5448 6144 6528 7264 7718 8704 10896 11577 13056 14528 15436 17408 21792 23154 26112 29056 30872 34816 43584 46308 52224 58112 61744 87168 92616 104448 116224 123488 174336 185232 232448 246976 348672 370464 464896 493952 697344 740928 987904 1394688 1481856 1975808 2963712 3951616 5927424 7903232 11854848 23709696