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23683920 = 2435137591
BaseRepresentation
bin101101001011…
…0001101010000
31122120021020020
41122112031100
522030341140
62203343440
7405211221
oct132261520
948507206
1023683920
1112407097
127b21b80
134ba3170
143207248
15212c6d0
hex1696350

23683920 has 80 divisors (see below), whose sum is σ = 79078272. Its totient is φ = 5829120.

The previous prime is 23683903. The next prime is 23683949. The reversal of 23683920 is 2938632.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676 + ... + 6915.

Almost surely, 223683920 is an apocalyptic number.

23683920 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 23683920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39539136).

23683920 is an abundant number, since it is smaller than the sum of its proper divisors (55394352).

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

23683920 is a wasteful number, since it uses less digits than its factorization.

23683920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 23683920 is about 4866.6127850899. The cubic root of 23683920 is about 287.1780188690.

The spelling of 23683920 in words is "twenty-three million, six hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 7591 15182 22773 30364 37955 45546 60728 75910 91092 98683 113865 121456 151820 182184 197366 227730 296049 303640 364368 394732 455460 493415 592098 607280 789464 910920 986830 1184196 1480245 1578928 1821840 1973660 2368392 2960490 3947320 4736784 5920980 7894640 11841960 23683920