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146160020 = 2257308001
BaseRepresentation
bin10001011011000…
…11100110010100
3101012000200212002
420231203212110
5244404110040
622300414432
73423224336
oct1055434624
9335020762
10146160020
117555a206
1240b47418
1324386126
14155a9456
15cc71a15
hex8b63994

146160020 has 12 divisors (see below), whose sum is σ = 306936084. Its totient is φ = 58464000.

The previous prime is 146160019. The next prime is 146160037. The reversal of 146160020 is 20061641.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35952016 + 110208004 = 5996^2 + 10498^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 7308001 = 146160020 / (1 + 4 + 6 + 1 + 6 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 146159974 and 146160001.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3653981 + ... + 3654020.

It is an arithmetic number, because the mean of its divisors is an integer number (25578007).

Almost surely, 2146160020 is an apocalyptic number.

146160020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146160020 is an abundant number, since it is smaller than the sum of its proper divisors (160776064).

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

146160020 is a wasteful number, since it uses less digits than its factorization.

146160020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7308010 (or 7308008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 146160020 is about 12089.6658349187. The cubic root of 146160020 is about 526.7560486729.

The spelling of 146160020 in words is "one hundred forty-six million, one hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 20 7308001 14616002 29232004 36540005 73080010 146160020