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18920680 = 2354183139
BaseRepresentation
bin100100000101…
…1010011101000
31022121021021221
41020023103220
514320430210
61513311424
7316552222
oct110132350
938537257
1018920680
11a753429
126405574
133bc608c
142727412
1519db1da
hex120b4e8

18920680 has 64 divisors (see below), whose sum is σ = 44452800. Its totient is φ = 7242240.

The previous prime is 18920663. The next prime is 18920701. The reversal of 18920680 is 8602981.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136051 + ... + 136189.

It is an arithmetic number, because the mean of its divisors is an integer number (694575).

Almost surely, 218920680 is an apocalyptic number.

18920680 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 18920680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226400).

18920680 is an abundant number, since it is smaller than the sum of its proper divisors (25532120).

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

18920680 is a wasteful number, since it uses less digits than its factorization.

18920680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 18920680 is about 4349.7907995673. The cubic root of 18920680 is about 266.4683177808.

It can be divided in two parts, 18920 and 680, that added together give a square (19600 = 1402).

The spelling of 18920680 in words is "eighteen million, nine hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 83 139 164 166 205 278 328 332 410 415 556 664 695 820 830 1112 1390 1640 1660 2780 3320 3403 5560 5699 6806 11398 11537 13612 17015 22796 23074 27224 28495 34030 45592 46148 56990 57685 68060 92296 113980 115370 136120 227960 230740 461480 473017 946034 1892068 2365085 3784136 4730170 9460340 18920680