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20185380 = 22325127883
BaseRepresentation
bin100110100000…
…0000100100100
31101222112010200
41031000010210
520131413010
62000350500
7333400335
oct115000444
941875120
1020185380
1110437636
126915430
134249917
14297628c
151b8acc0
hex1340124

20185380 has 72 divisors (see below), whose sum is σ = 61780992. Its totient is φ = 5334336.

The previous prime is 20185379. The next prime is 20185381. The reversal of 20185380 is 8358102.

It is a happy number.

20185380 is a `hidden beast` number, since 201 + 85 + 380 = 666.

It is an interprime number because it is at equal distance from previous prime (20185379) and next prime (20185381).

It is not an unprimeable number, because it can be changed into a prime (20185381) 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 23 ways as a sum of consecutive naturals, for example, 22419 + ... + 23301.

Almost surely, 220185380 is an apocalyptic number.

20185380 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 20185380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30890496).

20185380 is an abundant number, since it is smaller than the sum of its proper divisors (41595612).

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

20185380 is a wasteful number, since it uses less digits than its factorization.

20185380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 20185380 is about 4492.8142627979. The cubic root of 20185380 is about 272.2778482898.

The spelling of 20185380 in words is "twenty million, one hundred eighty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 883 1143 1270 1524 1766 1905 2286 2540 2649 3532 3810 4415 4572 5298 5715 7620 7947 8830 10596 11430 13245 15894 17660 22860 26490 31788 39735 52980 79470 112141 158940 224282 336423 448564 560705 672846 1009269 1121410 1345692 1682115 2018538 2242820 3364230 4037076 5046345 6728460 10092690 20185380