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23083840 = 2651331179
BaseRepresentation
bin101100000001…
…1101101000000
31121102210002001
41120003231000
521402140330
62142433344
7400131553
oct130035500
947383061
1023083840
111203725a
127892854
134a22ca0
1430cc69a
15205e9ca
hex1603b40

23083840 has 112 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 8202240.

The previous prime is 23083831. The next prime is 23083847. The reversal of 23083840 is 4838032.

It is a junction number, because it is equal to n+sod(n) for n = 23083799 and 23083808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23083847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128871 + ... + 129049.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 223083840 is an apocalyptic number.

23083840 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 23083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

23083840 is an abundant number, since it is smaller than the sum of its proper divisors (38363840).

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

23083840 is a wasteful number, since it uses less digits than its factorization.

23083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 23083840 is about 4804.5644963930. The cubic root of 23083840 is about 284.7318294103.

The spelling of 23083840 in words is "twenty-three million, eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 130 155 160 179 208 248 260 310 320 358 403 416 496 520 620 716 806 832 895 992 1040 1240 1432 1612 1790 1984 2015 2080 2327 2480 2864 3224 3580 4030 4160 4654 4960 5549 5728 6448 7160 8060 9308 9920 11098 11456 11635 12896 14320 16120 18616 22196 23270 25792 27745 28640 32240 37232 44392 46540 55490 57280 64480 72137 74464 88784 93080 110980 128960 144274 148928 177568 186160 221960 288548 355136 360685 372320 443920 577096 721370 744640 887840 1154192 1442740 1775680 2308384 2885480 4616768 5770960 11541920 23083840