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23047640 = 23572111069
BaseRepresentation
bin101011111101…
…0110111011000
31121100221102022
41113322313120
521400011030
62141554012
7366621200
oct127726730
947327368
1023047640
1112012040
127875908
134a0c675
1430bd400
152053de5
hex15fadd8

23047640 has 96 divisors (see below), whose sum is σ = 65869200. Its totient is φ = 7176960.

The previous prime is 23047637. The next prime is 23047643. The reversal of 23047640 is 4674032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23047637) and next prime (23047643).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23047643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21026 + ... + 22094.

Almost surely, 223047640 is an apocalyptic number.

23047640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23047640 is the 3920-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23047640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32934600).

23047640 is an abundant number, since it is smaller than the sum of its proper divisors (42821560).

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

23047640 is a wasteful number, since it uses less digits than its factorization.

23047640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 23047640 is about 4800.7957673702. The cubic root of 23047640 is about 284.5829130417.

The spelling of 23047640 in words is "twenty-three million, forty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1069 1078 1540 1960 2138 2156 2695 3080 4276 4312 5345 5390 7483 8552 10690 10780 11759 14966 21380 21560 23518 29932 37415 42760 47036 52381 58795 59864 74830 82313 94072 104762 117590 149660 164626 209524 235180 261905 299320 329252 411565 419048 470360 523810 576191 658504 823130 1047620 1152382 1646260 2095240 2304764 2880955 3292520 4609528 5761910 11523820 23047640