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23207640 = 2335415389
BaseRepresentation
bin101100010000…
…1111011011000
31121200001220020
41120201323120
521420121030
62145230440
7401155521
oct130417330
947601806
1023207640
1112111275
127932420
134a67441
143121848
152086510
hex1621ed8

23207640 has 128 divisors (see below), whose sum is σ = 73483200. Its totient is φ = 5857280.

The previous prime is 23207629. The next prime is 23207641. The reversal of 23207640 is 4670232.

23207640 = 4662 + 4672 + ... + 5542.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23207640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23207641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260716 + ... + 260804.

Almost surely, 223207640 is an apocalyptic number.

23207640 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 23207640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36741600).

23207640 is an abundant number, since it is smaller than the sum of its proper divisors (50275560).

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

23207640 is a wasteful number, since it uses less digits than its factorization.

23207640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 23207640 is about 4817.4308505676. The cubic root of 23207640 is about 285.2399333765.

Adding to 23207640 its reverse (4670232), we get a palindrome (27877872).

The spelling of 23207640 in words is "twenty-three million, two hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 53 60 82 89 106 120 123 159 164 178 205 212 246 265 267 318 328 356 410 424 445 492 530 534 615 636 712 795 820 890 984 1060 1068 1230 1272 1335 1590 1640 1780 2120 2136 2173 2460 2670 3180 3560 3649 4346 4717 4920 5340 6360 6519 7298 8692 9434 10680 10865 10947 13038 14151 14596 17384 18245 18868 21730 21894 23585 26076 28302 29192 32595 36490 37736 43460 43788 47170 52152 54735 56604 65190 70755 72980 86920 87576 94340 109470 113208 130380 141510 145960 188680 193397 218940 260760 283020 386794 437880 566040 580191 773588 966985 1160382 1547176 1933970 2320764 2900955 3867940 4641528 5801910 7735880 11603820 23207640