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23683680 = 2532516447
BaseRepresentation
bin101101001011…
…0001001100000
31122120020220100
41122112021200
522030334210
62203342400
7405210426
oct132261140
948506810
1023683680
1112406999
127b21a00
134ba3017
143207116
15212c5c0
hex1696260

23683680 has 72 divisors (see below), whose sum is σ = 80825472. Its totient is φ = 6315264.

The previous prime is 23683651. The next prime is 23683687. The reversal of 23683680 is 8638632.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23683687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6784 + ... + 9663.

It is an arithmetic number, because the mean of its divisors is an integer number (1122576).

Almost surely, 223683680 is an apocalyptic number.

23683680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23683680 is an abundant number, since it is smaller than the sum of its proper divisors (57141792).

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

23683680 is a wasteful number, since it uses less digits than its factorization.

23683680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16468 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 23683680 is about 4866.5881272201. The cubic root of 23683680 is about 287.1770488302.

The spelling of 23683680 in words is "twenty-three million, six hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 16447 32894 49341 65788 82235 98682 131576 148023 164470 197364 246705 263152 296046 328940 394728 493410 526304 592092 657880 740115 789456 986820 1184184 1315760 1480230 1578912 1973640 2368368 2631520 2960460 3947280 4736736 5920920 7894560 11841840 23683680