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23101640 = 2351753641
BaseRepresentation
bin101100000100…
…0000011001000
31121110200111022
41120020003020
521403223030
62143052012
7400234502
oct130100310
947420438
1023101640
1112049671
1278a1008
134a2b113
1430d4d72
152064de5
hex16080c8

23101640 has 64 divisors (see below), whose sum is σ = 56162160. Its totient is φ = 8519680.

The previous prime is 23101619. The next prime is 23101643. The reversal of 23101640 is 4610132.

It can be written as a sum of positive squares in 8 ways, for example, as 20232004 + 2869636 = 4498^2 + 1694^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (23101643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35720 + ... + 36360.

Almost surely, 223101640 is an apocalyptic number.

23101640 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 23101640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28081080).

23101640 is an abundant number, since it is smaller than the sum of its proper divisors (33060520).

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

23101640 is a wasteful number, since it uses less digits than its factorization.

23101640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 23101640 is about 4806.4165445787. The cubic root of 23101640 is about 284.8049963880.

Adding to 23101640 its reverse (4610132), we get a palindrome (27711772).

The spelling of 23101640 in words is "twenty-three million, one hundred one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 641 680 901 1060 1282 1802 2120 2564 3205 3604 4505 5128 6410 7208 9010 10897 12820 18020 21794 25640 33973 36040 43588 54485 67946 87176 108970 135892 169865 217940 271784 339730 435880 577541 679460 1155082 1358920 2310164 2887705 4620328 5775410 11550820 23101640