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23934680 = 23571119409
BaseRepresentation
bin101101101001…
…1011011011000
31200001000012122
41123103123120
522111402210
62213000412
7410304260
oct133233330
950030178
1023934680
1112568530
128023108
134c60343
1432707a0
15217bb55
hex16d36d8

23934680 has 128 divisors (see below), whose sum is σ = 70848000. Its totient is φ = 7050240.

The previous prime is 23934679. The next prime is 23934689. The reversal of 23934680 is 8643932.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 23934680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23934689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58316 + ... + 58724.

It is an arithmetic number, because the mean of its divisors is an integer number (553500).

Almost surely, 223934680 is an apocalyptic number.

23934680 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 23934680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35424000).

23934680 is an abundant number, since it is smaller than the sum of its proper divisors (46913320).

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

23934680 is a wasteful number, since it uses less digits than its factorization.

23934680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 23934680 is about 4892.3082486695. The cubic root of 23934680 is about 288.1879881205.

The spelling of 23934680 in words is "twenty-three million, nine hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 409 418 440 532 616 665 760 770 818 836 1045 1064 1330 1463 1540 1636 1672 2045 2090 2660 2863 2926 3080 3272 4090 4180 4499 5320 5726 5852 7315 7771 8180 8360 8998 11452 11704 14315 14630 15542 16360 17996 22495 22904 28630 29260 31084 31493 35992 38855 44990 54397 57260 58520 62168 62986 77710 85481 89980 108794 114520 125972 155420 157465 170962 179960 217588 251944 271985 310840 314930 341924 427405 435176 543970 598367 629860 683848 854810 1087940 1196734 1259720 1709620 2175880 2393468 2991835 3419240 4786936 5983670 11967340 23934680