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23263680 = 2635112203
BaseRepresentation
bin101100010111…
…1100111000000
31121202220202210
41120233213000
521423414210
62150342120
7401511066
oct130574700
947686683
1023263680
111214a390
12795a940
134a86abb
143138036
152097e20
hex162f9c0

23263680 has 112 divisors (see below), whose sum is σ = 80613504. Its totient is φ = 5637120.

The previous prime is 23263651. The next prime is 23263693. The reversal of 23263680 is 8636232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 9459 + ... + 11661.

Almost surely, 223263680 is an apocalyptic number.

23263680 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 23263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40306752).

23263680 is an abundant number, since it is smaller than the sum of its proper divisors (57349824).

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

23263680 is a wasteful number, since it uses less digits than its factorization.

23263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 23263680 is about 4823.2437218121. The cubic root of 23263680 is about 285.4693405427.

It can be divided in two parts, 2326 and 3680, that added together give a palindrome (6006).

The spelling of 23263680 in words is "twenty-three million, two hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2203 2640 3520 4406 5280 6609 8812 10560 11015 13218 17624 22030 24233 26436 33045 35248 44060 48466 52872 66090 70496 72699 88120 96932 105744 121165 132180 140992 145398 176240 193864 211488 242330 264360 290796 352480 363495 387728 422976 484660 528720 581592 704960 726990 775456 969320 1057440 1163184 1453980 1550912 1938640 2114880 2326368 2907960 3877280 4652736 5815920 7754560 11631840 23263680