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18141956 = 22741889
BaseRepresentation
bin100010100110…
…1001100000100
31021010201002022
41011031030010
514121020311
61444502312
7310130000
oct105151404
937121068
1018141956
11a271358
1260aa998
1339b27b1
1425a3700
1518d55db
hex114d304

18141956 has 30 divisors (see below), whose sum is σ = 37057230. Its totient is φ = 7771008.

The previous prime is 18141947. The next prime is 18141971. The reversal of 18141956 is 65914181.

It can be written as a sum of positive squares in only one way, i.e., 15366400 + 2775556 = 3920^2 + 1666^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8660 + ... + 10548.

It is an arithmetic number, because the mean of its divisors is an integer number (1235241).

Almost surely, 218141956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18141956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18528615).

18141956 is an abundant number, since it is smaller than the sum of its proper divisors (18915274).

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

18141956 is an equidigital number, since it uses as much as digits as its factorization.

18141956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1898 counting only the distinct ones).

The product of its digits is 8640, while the sum is 35.

The square root of 18141956 is about 4259.3375071717. The cubic root of 18141956 is about 262.7612805876.

The spelling of 18141956 in words is "eighteen million, one hundred forty-one thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 1889 2401 3778 4802 7556 9604 13223 26446 52892 92561 185122 370244 647927 1295854 2591708 4535489 9070978 18141956