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23420760 = 23351121613
BaseRepresentation
bin101100101010…
…1111101011000
31122001220020120
41121111331120
521443431020
62153553240
7403034046
oct131257530
948056216
1023420760
1112247400
127a15820
134b1044c
143179396
1520c9740
hex1655f58

23420760 has 96 divisors (see below), whose sum is σ = 77278320. Its totient is φ = 5674240.

The previous prime is 23420759. The next prime is 23420773. The reversal of 23420760 is 6702432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23420760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13714 + ... + 15326.

Almost surely, 223420760 is an apocalyptic number.

23420760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 4839×4840.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23420760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38639160).

23420760 is an abundant number, since it is smaller than the sum of its proper divisors (53857560).

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

23420760 is a wasteful number, since it uses less digits than its factorization.

23420760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 23420760 is about 4839.4999741709. The cubic root of 23420760 is about 286.1104110190.

The spelling of 23420760 in words is "twenty-three million, four hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1613 1815 2420 2904 3226 3630 4839 4840 6452 7260 8065 9678 12904 14520 16130 17743 19356 24195 32260 35486 38712 48390 53229 64520 70972 88715 96780 106458 141944 177430 193560 195173 212916 266145 354860 390346 425832 532290 585519 709720 780692 975865 1064580 1171038 1561384 1951730 2129160 2342076 2927595 3903460 4684152 5855190 7806920 11710380 23420760