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146801893 = 7223130259
BaseRepresentation
bin10001100000000…
…00010011100101
3101020020022100011
420300000103211
5300040130033
622322250221
73431536600
oct1060002345
9336208304
10146801893
1175958487
12411b6971
132454c334
14156d5337
15cd4bccd
hex8c004e5

146801893 has 12 divisors (see below), whose sum is σ = 178195680. Its totient is φ = 120358392.

The previous prime is 146801887. The next prime is 146801899. The reversal of 146801893 is 398108641.

It is an interprime number because it is at equal distance from previous prime (146801887) and next prime (146801899).

It is not a de Polignac number, because 146801893 - 225 = 113247461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146801899) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64003 + ... + 66256.

It is an arithmetic number, because the mean of its divisors is an integer number (14849640).

Almost surely, 2146801893 is an apocalyptic number.

It is an amenable number.

146801893 is a deficient number, since it is larger than the sum of its proper divisors (31393787).

146801893 is a wasteful number, since it uses less digits than its factorization.

146801893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130296 (or 130289 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 146801893 is about 12116.1831036016. The cubic root of 146801893 is about 527.5260192462.

The spelling of 146801893 in words is "one hundred forty-six million, eight hundred one thousand, eight hundred ninety-three".

Divisors: 1 7 23 49 161 1127 130259 911813 2995957 6382691 20971699 146801893