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23728680 = 23335127173
BaseRepresentation
bin101101010000…
…1001000101000
31122122112122000
41122201020220
522033304210
62204331000
7405455553
oct132411050
948575560
1023728680
1112437788
127b43a60
134bba651
14321969a
15213aac0
hex16a1228

23728680 has 128 divisors (see below), whose sum is σ = 80179200. Its totient is φ = 6241536.

The previous prime is 23728673. The next prime is 23728681. The reversal of 23728680 is 8682732.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (23728681) 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, 137074 + ... + 137246.

It is an arithmetic number, because the mean of its divisors is an integer number (626400).

Almost surely, 223728680 is an apocalyptic number.

23728680 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 23728680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40089600).

23728680 is an abundant number, since it is smaller than the sum of its proper divisors (56450520).

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

23728680 is a wasteful number, since it uses less digits than its factorization.

23728680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 23728680 is about 4871.2092954419. The cubic root of 23728680 is about 287.3588166284.

The spelling of 23728680 in words is "twenty-three million, seven hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 127 135 173 180 216 254 270 346 360 381 508 519 540 635 692 762 865 1016 1038 1080 1143 1270 1384 1524 1557 1730 1905 2076 2286 2540 2595 3048 3114 3429 3460 3810 4152 4572 4671 5080 5190 5715 6228 6858 6920 7620 7785 9144 9342 10380 11430 12456 13716 15240 15570 17145 18684 20760 21971 22860 23355 27432 31140 34290 37368 43942 45720 46710 62280 65913 68580 87884 93420 109855 131826 137160 175768 186840 197739 219710 263652 329565 395478 439420 527304 593217 659130 790956 878840 988695 1186434 1318260 1581912 1977390 2372868 2636520 2966085 3954780 4745736 5932170 7909560 11864340 23728680