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23630976 = 273273281
BaseRepresentation
bin101101000100…
…1010010000000
31122110120121100
41122021102000
522022142401
62202254400
7404600655
oct132112200
948416540
1023630976
1112380336
127ab7400
134b85035
1431d1c2c
15211bb86
hex1689480

23630976 has 96 divisors (see below), whose sum is σ = 69177420. Its totient is φ = 7741440.

The previous prime is 23630963. The next prime is 23630977. The reversal of 23630976 is 67903632.

It can be written as a sum of positive squares in 2 ways, for example, as 23270976 + 360000 = 4824^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23630976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23630977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83956 + ... + 84236.

Almost surely, 223630976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34588710).

23630976 is an abundant number, since it is smaller than the sum of its proper divisors (45546444).

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

23630976 is a wasteful number, since it uses less digits than its factorization.

23630976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 23630976 is about 4861.1702294818. The cubic root of 23630976 is about 286.9638694010.

The spelling of 23630976 in words is "twenty-three million, six hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 281 288 292 384 438 562 576 584 657 843 876 1124 1152 1168 1314 1686 1752 2248 2336 2529 2628 3372 3504 4496 4672 5058 5256 6744 7008 8992 9344 10116 10512 13488 14016 17984 20232 20513 21024 26976 28032 35968 40464 41026 42048 53952 61539 80928 82052 84096 107904 123078 161856 164104 184617 246156 323712 328208 369234 492312 656416 738468 984624 1312832 1476936 1969248 2625664 2953872 3938496 5907744 7876992 11815488 23630976