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18070960 = 2451131999
BaseRepresentation
bin100010011101…
…1110110110000
31021000002200211
41010323312300
514111232320
61443153504
7306413005
oct104736660
937002624
1018070960
11a222a86
126075894
13398939b
1425858ac
1518be55a
hex113bdb0

18070960 has 40 divisors (see below), whose sum is σ = 42408000. Its totient is φ = 7160832.

The previous prime is 18070891. The next prime is 18070963. The reversal of 18070960 is 6907081.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (18070963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8041 + ... + 10039.

It is an arithmetic number, because the mean of its divisors is an integer number (1060200).

Almost surely, 218070960 is an apocalyptic number.

18070960 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 18070960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204000).

18070960 is an abundant number, since it is smaller than the sum of its proper divisors (24337040).

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

18070960 is a wasteful number, since it uses less digits than its factorization.

18070960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 18070960 is about 4250.9951776025. The cubic root of 18070960 is about 262.4180726943.

The spelling of 18070960 in words is "eighteen million, seventy thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 1999 2260 3998 4520 7996 9040 9995 15992 19990 31984 39980 79960 159920 225887 451774 903548 1129435 1807096 2258870 3614192 4517740 9035480 18070960