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146274016 = 257293287
BaseRepresentation
bin10001011011111…
…11011011100000
3101012020111020011
420231333123200
5244421232031
622303054304
73424210600
oct1055773340
9335214204
10146274016
1175627919
1240ba1394
13243c5c95
14155d8c00
15cc956b1
hex8b7f6e0

146274016 has 36 divisors (see below), whose sum is σ = 334997208. Its totient is φ = 62688192.

The previous prime is 146273993. The next prime is 146274047. The reversal of 146274016 is 610472641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45076 + ... + 48211.

It is an arithmetic number, because the mean of its divisors is an integer number (9305478).

Almost surely, 2146274016 is an apocalyptic number.

146274016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146274016 is an abundant number, since it is smaller than the sum of its proper divisors (188723192).

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

146274016 is an equidigital number, since it uses as much as digits as its factorization.

146274016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93311 (or 93296 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 146274016 is about 12094.3795210833. The cubic root of 146274016 is about 526.8929590674.

The spelling of 146274016 in words is "one hundred forty-six million, two hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 93287 186574 373148 653009 746296 1306018 1492592 2612036 2985184 4571063 5224072 9142126 10448144 18284252 20896288 36568504 73137008 146274016