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23416640 = 265132433
BaseRepresentation
bin101100101010…
…0111101000000
31122001200120222
41121110331000
521443313030
62153522212
7403016042
oct131247500
948050528
1023416640
11122442a5
127a13368
134b0b600
143177a92
1520c83e5
hex1654f40

23416640 has 84 divisors (see below), whose sum is σ = 60519564. Its totient is φ = 8626176.

The previous prime is 23416637. The next prime is 23416649. The reversal of 23416640 is 4661432.

It can be written as a sum of positive squares in 6 ways, for example, as 9339136 + 14077504 = 3056^2 + 3752^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23416649) 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 11 ways as a sum of consecutive naturals, for example, 53864 + ... + 54296.

It is an arithmetic number, because the mean of its divisors is an integer number (720471).

Almost surely, 223416640 is an apocalyptic number.

23416640 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 23416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30259782).

23416640 is an abundant number, since it is smaller than the sum of its proper divisors (37102924).

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

23416640 is a wasteful number, since it uses less digits than its factorization.

23416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 23416640 is about 4839.0742916388. The cubic root of 23416640 is about 286.0936332540.

The spelling of 23416640 in words is "twenty-three million, four hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 260 320 338 416 433 520 676 832 845 866 1040 1352 1690 1732 2080 2165 2704 3380 3464 4160 4330 5408 5629 6760 6928 8660 10816 11258 13520 13856 17320 22516 27040 27712 28145 34640 45032 54080 56290 69280 73177 90064 112580 138560 146354 180128 225160 292708 360256 365885 450320 585416 731770 900640 1170832 1463540 1801280 2341664 2927080 4683328 5854160 11708320 23416640