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23375680 = 265174297
BaseRepresentation
bin101100100101…
…0111101000000
31121222121101221
41121022331000
521441010210
62153004424
7402455446
oct131127500
947877357
1023375680
1112216549
1279b3714
134ac5a83
143166b96
1520bb1da
hex164af40

23375680 has 56 divisors (see below), whose sum is σ = 58951368. Its totient is φ = 8798208.

The previous prime is 23375641. The next prime is 23375683. The reversal of 23375680 is 8657332.

It can be written as a sum of positive squares in 4 ways, for example, as 5125696 + 18249984 = 2264^2 + 4272^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23375683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3292 + ... + 7588.

It is an arithmetic number, because the mean of its divisors is an integer number (1052703).

Almost surely, 223375680 is an apocalyptic number.

23375680 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 23375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29475684).

23375680 is an abundant number, since it is smaller than the sum of its proper divisors (35575688).

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

23375680 is a wasteful number, since it uses less digits than its factorization.

23375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 23375680 is about 4834.8402248678. The cubic root of 23375680 is about 285.9267258126.

The spelling of 23375680 in words is "twenty-three million, three hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 4297 5440 8594 17188 21485 34376 42970 68752 73049 85940 137504 146098 171880 275008 292196 343760 365245 584392 687520 730490 1168784 1375040 1460980 2337568 2921960 4675136 5843920 11687840 23375680