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146470272 = 2731323761
BaseRepresentation
bin10001011101011…
…11010110000000
3101012121110102220
420232233112000
5244444022042
622311211040
73425656014
oct1056572600
9335543386
10146470272
1175751313
1241076a80
1324464400
141564a544
15ccd38ec
hex8baf580

146470272 has 192 divisors, whose sum is σ = 439770960. Its totient is φ = 43130880.

The previous prime is 146470253. The next prime is 146470321. The reversal of 146470272 is 272074641.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 2401122 + ... + 2401182.

Almost surely, 2146470272 is an apocalyptic number.

146470272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146470272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219885480).

146470272 is an abundant number, since it is smaller than the sum of its proper divisors (293300688).

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

146470272 is a wasteful number, since it uses less digits than its factorization.

146470272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 146470272 is about 12102.4903222436. The cubic root of 146470272 is about 527.1284980356.

The spelling of 146470272 in words is "one hundred forty-six million, four hundred seventy thousand, two hundred seventy-two".