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2013670120 = 235711653789
BaseRepresentation
bin111100000000110…
…0010101011101000
312012100002001002211
41320001202223220
513110444420440
6531451534504
7100620625240
oct17001425350
95170061084
102013670120
11943734190
1248245a434
132612525a7
14151616b20
15bbbb2eea
hex78062ae8

2013670120 has 64 divisors (see below), whose sum is σ = 5648745600. Its totient is φ = 627636480.

The previous prime is 2013670117. The next prime is 2013670147. The reversal of 2013670120 is 210763102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2013670091 and 2013670100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323815 + ... + 329974.

It is an arithmetic number, because the mean of its divisors is an integer number (88261650).

Almost surely, 22013670120 is an apocalyptic number.

2013670120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013670120 is an abundant number, since it is smaller than the sum of its proper divisors (3635075480).

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

2013670120 is a wasteful number, since it uses less digits than its factorization.

2013670120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653818 (or 653814 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2013670120 is about 44873.9358648202. The cubic root of 2013670120 is about 1262.7850798240.

The spelling of 2013670120 in words is "two billion, thirteen million, six hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 653789 1307578 2615156 3268945 4576523 5230312 6537890 7191679 9153046 13075780 14383358 18306092 22882615 26151560 28766716 35958395 36612184 45765230 50341753 57533432 71916790 91530460 100683506 143833580 183060920 201367012 251708765 287667160 402734024 503417530 1006835060 2013670120