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10023640 = 23511219109
BaseRepresentation
bin100110001111…
…001011011000
3200212020211221
4212033023120
510031224030
6554501424
7151125304
oct46171330
920766757
1010023640
115726a00
123434874
1320cc563
14148cd04
15d2ee7a
hex98f2d8

10023640 has 96 divisors (see below), whose sum is σ = 26334000. Its totient is φ = 3421440.

The previous prime is 10023631. The next prime is 10023641. The reversal of 10023640 is 4632001.

10023640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91906 + ... + 92014.

Almost surely, 210023640 is an apocalyptic number.

10023640 is a gapful number since it is divisible by the number (10) 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 10023640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167000).

10023640 is an abundant number, since it is smaller than the sum of its proper divisors (16310360).

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

10023640 is a wasteful number, since it uses less digits than its factorization.

10023640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10023640 is about 3166.0132659229. The cubic root of 10023640 is about 215.6131048539.

Adding to 10023640 its reverse (4632001), we get a palindrome (14655641).

The spelling of 10023640 in words is "ten million, twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 109 110 121 152 190 209 218 220 242 380 418 436 440 484 545 605 760 836 872 968 1045 1090 1199 1210 1672 2071 2090 2180 2299 2398 2420 4142 4180 4360 4598 4796 4840 5995 8284 8360 9196 9592 10355 11495 11990 13189 16568 18392 20710 22781 22990 23980 26378 41420 45562 45980 47960 52756 65945 82840 91124 91960 105512 113905 131890 182248 227810 250591 263780 455620 501182 527560 911240 1002364 1252955 2004728 2505910 5011820 10023640