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146401476 = 223135317707
BaseRepresentation
bin10001011100111…
…10100011000100
3101012110222001220
420232132203010
5244434321401
622305520340
73425251314
oct1056364304
9335428056
10146401476
1175704661
12410430b0
132443bcc0
141562d444
15ccbd336
hex8b9e8c4

146401476 has 48 divisors (see below), whose sum is σ = 374842944. Its totient is φ = 44194176.

The previous prime is 146401439. The next prime is 146401477. The reversal of 146401476 is 674104641.

146401476 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

146401476 is a modest number, since divided by 1476 gives 1464 as remainder.

It is not an unprimeable number, because it can be changed into a prime (146401477) 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 15 ways as a sum of consecutive naturals, for example, 586 + ... + 17121.

It is an arithmetic number, because the mean of its divisors is an integer number (7809228).

Almost surely, 2146401476 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 146401476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187421472).

146401476 is an abundant number, since it is smaller than the sum of its proper divisors (228441468).

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

146401476 is a wasteful number, since it uses less digits than its factorization.

146401476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17780 (or 17778 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 146401476 is about 12099.6477634682. The cubic root of 146401476 is about 527.0459556630.

The spelling of 146401476 in words is "one hundred forty-six million, four hundred one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2756 4134 8268 17707 35414 53121 70828 106242 212484 230191 460382 690573 920764 938471 1381146 1876942 2762292 2815413 3753884 5630826 11261652 12200123 24400246 36600369 48800492 73200738 146401476