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23643620 = 225711131181
BaseRepresentation
bin101101000110…
…0010111100100
31122111012221122
41122030113210
522023043440
62202433112
7404652560
oct132142744
948435848
1023643620
1112389890
127b02798
134b8aa10
1431d66a0
1521207b5
hex168c5e4

23643620 has 96 divisors (see below), whose sum is σ = 66721536. Its totient is φ = 6796800.

The previous prime is 23643577. The next prime is 23643637. The reversal of 23643620 is 2634632.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 23643620.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19430 + ... + 20610.

It is an arithmetic number, because the mean of its divisors is an integer number (695016).

Almost surely, 223643620 is an apocalyptic number.

23643620 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 23643620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33360768).

23643620 is an abundant number, since it is smaller than the sum of its proper divisors (43077916).

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

23643620 is a wasteful number, since it uses less digits than its factorization.

23643620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 23643620 is about 4862.4705654636. The cubic root of 23643620 is about 287.0150412785.

The spelling of 23643620 in words is "twenty-three million, six hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1181 1430 1540 1820 2002 2362 2860 4004 4724 5005 5905 8267 10010 11810 12991 15353 16534 20020 23620 25982 30706 33068 41335 51964 61412 64955 76765 82670 90937 107471 129910 153530 165340 168883 181874 214942 259820 307060 337766 363748 429884 454685 537355 675532 844415 909370 1074710 1182181 1688830 1818740 2149420 2364362 3377660 4728724 5910905 11821810 23643620