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146790496 = 2541532111
BaseRepresentation
bin10001011111111…
…01100001100000
3101020012201201001
420233331201200
5300034243441
622322121344
73431461426
oct1057754140
9336181631
10146790496
117594a966
12411b0254
13245470a8
14156d1116
15cd48731
hex8bfd860

146790496 has 48 divisors (see below), whose sum is σ = 301771008. Its totient is φ = 70220800.

The previous prime is 146790493. The next prime is 146790499. The reversal of 146790496 is 694097641.

146790496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146790493) and next prime (146790499).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146790493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68481 + ... + 70591.

It is an arithmetic number, because the mean of its divisors is an integer number (6286896).

Almost surely, 2146790496 is an apocalyptic number.

146790496 is a gapful number since it is divisible by the number (16) 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 146790496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150885504).

146790496 is an abundant number, since it is smaller than the sum of its proper divisors (154980512).

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

146790496 is a wasteful number, since it uses less digits than its factorization.

146790496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 146790496 is about 12115.7127730893. The cubic root of 146790496 is about 527.5123673568.

The spelling of 146790496 in words is "one hundred forty-six million, seven hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 53 82 106 164 212 328 424 656 848 1312 1696 2111 2173 4222 4346 8444 8692 16888 17384 33776 34768 67552 69536 86551 111883 173102 223766 346204 447532 692408 895064 1384816 1790128 2769632 3580256 4587203 9174406 18348812 36697624 73395248 146790496