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1368528420 = 223576774813
BaseRepresentation
bin101000110010010…
…0001011000100100
310112101010110001210
41101210201120210
510300320402140
6343444151420
745625204530
oct12144413044
93471113053
101368528420
11642553726
12322398570
1318a6aca3c
14cda7cbc0
1580229d80
hex51921624

1368528420 has 96 divisors (see below), whose sum is σ = 4386670848. Its totient is φ = 312279552.

The previous prime is 1368528401. The next prime is 1368528433. The reversal of 1368528420 is 248258631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281934 + ... + 286746.

It is an arithmetic number, because the mean of its divisors is an integer number (45694488).

Almost surely, 21368528420 is an apocalyptic number.

1368528420 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 1368528420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193335424).

1368528420 is an abundant number, since it is smaller than the sum of its proper divisors (3018142428).

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

1368528420 is a wasteful number, since it uses less digits than its factorization.

1368528420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1368528420 is about 36993.6267484009. The cubic root of 1368528420 is about 1110.2427356492.

The spelling of 1368528420 in words is "one billion, three hundred sixty-eight million, five hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 677 1354 2031 2708 3385 4062 4739 4813 6770 8124 9478 9626 10155 13540 14217 14439 18956 19252 20310 23695 24065 28434 28878 33691 40620 47390 48130 56868 57756 67382 71085 72195 94780 96260 101073 134764 142170 144390 168455 202146 284340 288780 336910 404292 505365 673820 1010730 2021460 3258401 6516802 9775203 13033604 16292005 19550406 22808807 32584010 39100812 45617614 48876015 65168020 68426421 91235228 97752030 114044035 136852842 195504060 228088070 273705684 342132105 456176140 684264210 1368528420