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23137506 = 2327237709
BaseRepresentation
bin101100001000…
…0110011100010
31121112111200200
41120100303202
521410400011
62143530030
7400444200
oct130206342
947474620
1023137506
1112073607
1278b9916
134a41542
143104070
152070856
hex1610ce2

23137506 has 72 divisors (see below), whose sum is σ = 59976540. Its totient is φ = 6422976.

The previous prime is 23137487. The next prime is 23137511. The reversal of 23137506 is 60573132.

It is a happy number.

23137506 is a `hidden beast` number, since 23 + 137 + 506 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23126481 + 11025 = 4809^2 + 105^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23137506.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32280 + ... + 32988.

Almost surely, 223137506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23137506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29988270).

23137506 is an abundant number, since it is smaller than the sum of its proper divisors (36839034).

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

23137506 is a wasteful number, since it uses less digits than its factorization.

23137506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 23137506 is about 4810.1461516257. The cubic root of 23137506 is about 284.9523096564.

The spelling of 23137506 in words is "twenty-three million, one hundred thirty-seven thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 709 777 882 1418 1554 1813 2127 2331 3626 4254 4662 4963 5439 6381 9926 10878 12762 14889 16317 26233 29778 32634 34741 44667 52466 69482 78699 89334 104223 157398 183631 208446 236097 312669 367262 472194 550893 625338 1101786 1285417 1652679 2570834 3305358 3856251 7712502 11568753 23137506