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23530520 = 23513371223
BaseRepresentation
bin101100111000…
…0110000011000
31122021110210202
41121300300120
522010434040
62200201332
7404002046
oct131606030
948243722
1023530520
1112311912
127a69248
134b4b3b0
1431a7396
1520ec015
hex1670c18

23530520 has 64 divisors (see below), whose sum is σ = 58605120. Its totient is φ = 8446464.

The previous prime is 23530511. The next prime is 23530547. The reversal of 23530520 is 2503532.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23530492 and 23530501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18629 + ... + 19851.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 223530520 is an apocalyptic number.

23530520 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 23530520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302560).

23530520 is an abundant number, since it is smaller than the sum of its proper divisors (35074600).

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

23530520 is a wasteful number, since it uses less digits than its factorization.

23530520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 23530520 is about 4850.8267336610. The cubic root of 23530520 is about 286.5566611150.

The spelling of 23530520 in words is "twenty-three million, five hundred thirty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1223 1480 1924 2405 2446 3848 4810 4892 6115 9620 9784 12230 15899 19240 24460 31798 45251 48920 63596 79495 90502 127192 158990 181004 226255 317980 362008 452510 588263 635960 905020 1176526 1810040 2353052 2941315 4706104 5882630 11765260 23530520