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2260020420 = 223357597889
BaseRepresentation
bin1000011010110101…
…0010110011000100
312211111121221012000
42012231102303010
514112031123140
61012132025300
7110001566550
oct20655226304
95744557160
102260020420
11a5a7a4879
12530a62230
132a02b79b8
14176222860
15d3625a30
hex86b52cc4

2260020420 has 96 divisors (see below), whose sum is σ = 8035641600. Its totient is φ = 516575232.

The previous prime is 2260020403. The next prime is 2260020437. The reversal of 2260020420 is 240200622.

It is a happy number.

2260020420 is a `hidden beast` number, since 2 + 2 + 600 + 20 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2260020403) and next prime (2260020437).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2260020393 and 2260020402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295165 + ... + 302724.

It is an arithmetic number, because the mean of its divisors is an integer number (83704600).

Almost surely, 22260020420 is an apocalyptic number.

2260020420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260020420 is an abundant number, since it is smaller than the sum of its proper divisors (5775621180).

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

2260020420 is a wasteful number, since it uses less digits than its factorization.

2260020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597914 (or 597906 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2260020420 is about 47539.6720644979. The cubic root of 2260020420 is about 1312.3130705212.

The spelling of 2260020420 in words is "two billion, two hundred sixty million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 597889 1195778 1793667 2391556 2989445 3587334 4185223 5381001 5978890 7174668 8370446 8968335 10762002 11957780 12555669 16143003 16740892 17936670 20926115 21524004 25111338 26905005 32286006 35873340 37667007 41852230 50222676 53810010 62778345 64572012 75334014 80715015 83704460 107620020 113001021 125556690 150668028 161430030 188335035 226002042 251113380 322860060 376670070 452004084 565005105 753340140 1130010210 2260020420