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23506704 = 24321329433
BaseRepresentation
bin101100110101…
…0111100010000
31122020021010200
41121222330100
522004203304
62155455200
7403542444
oct131527420
948207120
1023506704
11122a5a31
127a57500
134b405c0
14319c824
1520e4e39
hex166af10

23506704 has 120 divisors (see below), whose sum is σ = 73458840. Its totient is φ = 6967296.

The previous prime is 23506697. The next prime is 23506739. The reversal of 23506704 is 40760532.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3600 + 23503104 = 60^2 + 4848^2 .

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, 54072 + ... + 54504.

It is an arithmetic number, because the mean of its divisors is an integer number (612157).

Almost surely, 223506704 is an apocalyptic number.

23506704 is a gapful number since it is divisible by the number (24) 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 23506704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36729420).

23506704 is an abundant number, since it is smaller than the sum of its proper divisors (49952136).

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

23506704 is a wasteful number, since it uses less digits than its factorization.

23506704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 23506704 is about 4848.3712729122. The cubic root of 23506704 is about 286.4599507261.

The spelling of 23506704 in words is "twenty-three million, five hundred six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 433 464 468 522 624 696 754 866 936 1044 1131 1299 1392 1508 1732 1872 2088 2262 2598 3016 3393 3464 3897 4176 4524 5196 5629 6032 6786 6928 7794 9048 10392 11258 12557 13572 15588 16887 18096 20784 22516 25114 27144 31176 33774 37671 45032 50228 50661 54288 62352 67548 75342 90064 100456 101322 113013 135096 150684 163241 200912 202644 226026 270192 301368 326482 405288 452052 489723 602736 652964 810576 904104 979446 1305928 1469169 1808208 1958892 2611856 2938338 3917784 5876676 7835568 11753352 23506704