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2093936580 = 2232517684293
BaseRepresentation
bin111110011001110…
…1110111111000100
312101221002222222200
41330303232333010
513242021432310
6543440154500
7102614111241
oct17463567704
95357088880
102093936580
11984a775aa
124a5308a30
13274a77038
1415c14c5c8
15c3c6a9c0
hex7cceefc4

2093936580 has 72 divisors (see below), whose sum is σ = 6725241432. Its totient is φ = 525536256.

The previous prime is 2093936567. The next prime is 2093936617. The reversal of 2093936580 is 856393902.

2093936580 is a `hidden beast` number, since 2 + 0 + 9 + 39 + 36 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27688644 + 2066247936 = 5262^2 + 45456^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339087 + ... + 345206.

It is an arithmetic number, because the mean of its divisors is an integer number (93406131).

Almost surely, 22093936580 is an apocalyptic number.

2093936580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2093936580 is an abundant number, since it is smaller than the sum of its proper divisors (4631304852).

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

2093936580 is a wasteful number, since it uses less digits than its factorization.

2093936580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684325 (or 684320 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2093936580 is about 45759.5517897630. The cubic root of 2093936580 is about 1279.3454865053.

The spelling of 2093936580 in words is "two billion, ninety-three million, nine hundred thirty-six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 684293 1368586 2052879 2737172 3421465 4105758 6158637 6842930 8211516 10264395 11632981 12317274 13685860 20528790 23265962 24634548 30793185 34898943 41057580 46531924 58164905 61586370 69797886 104696829 116329810 123172740 139595772 174494715 209393658 232659620 348989430 418787316 523484145 697978860 1046968290 2093936580