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2015020040 = 2351121372143
BaseRepresentation
bin111100000011010…
…1100010000001000
312012102121121211212
41320012230100020
513111321120130
6531540512252
7100635246665
oct17006542010
95172547755
102015020040
11944476420
124829ab688
13261605b67
14151888a6c
15bbd7ce95
hex781ac408

2015020040 has 64 divisors (see below), whose sum is σ = 4950581760. Its totient is φ = 732049920.

The previous prime is 2015020027. The next prime is 2015020043. The reversal of 2015020040 is 400205102.

It is a junction number, because it is equal to n+sod(n) for n = 2015019997 and 2015020024.

It is not an unprimeable number, because it can be changed into a prime (2015020043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 939209 + ... + 941351.

It is an arithmetic number, because the mean of its divisors is an integer number (77352840).

Almost surely, 22015020040 is an apocalyptic number.

2015020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2015020040 is an abundant number, since it is smaller than the sum of its proper divisors (2935561720).

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

2015020040 is a wasteful number, since it uses less digits than its factorization.

2015020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2015020040 is about 44888.9745928775. The cubic root of 2015020040 is about 1263.0671978727.

Adding to 2015020040 its reverse (400205102), we get a palindrome (2415225142).

The spelling of 2015020040 in words is "two billion, fifteen million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2137 2143 4274 4286 8548 8572 10685 10715 17096 17144 21370 21430 23507 23573 42740 42860 47014 47146 85480 85720 94028 94292 117535 117865 188056 188584 235070 235730 470140 471460 940280 942920 4579591 9159182 18318364 22897955 36636728 45795910 50375501 91591820 100751002 183183640 201502004 251877505 403004008 503755010 1007510020 2015020040