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146828280 = 23351223569
BaseRepresentation
bin10001100000001…
…10101111111000
3101020021122112110
420300012233320
5300042001110
622323012320
73432006534
oct1060065770
9336248473
10146828280
1175976295
124120a0a0
132455b351
1415700bc4
15cd54a20
hex8c06bf8

146828280 has 32 divisors (see below), whose sum is σ = 440485200. Its totient is φ = 39154176.

The previous prime is 146828263. The next prime is 146828287. The reversal of 146828280 is 82828641.

It is a super-4 number, since 4×1468282804 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146828287) 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 7 ways as a sum of consecutive naturals, for example, 611665 + ... + 611904.

Almost surely, 2146828280 is an apocalyptic number.

146828280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146828280 is an abundant number, since it is smaller than the sum of its proper divisors (293656920).

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

146828280 is a wasteful number, since it uses less digits than its factorization.

146828280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223583 (or 1223579 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 146828280 is about 12117.2719702085. The cubic root of 146828280 is about 527.5576241864.

The spelling of 146828280 in words is "one hundred forty-six million, eight hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1223569 2447138 3670707 4894276 6117845 7341414 9788552 12235690 14682828 18353535 24471380 29365656 36707070 48942760 73414140 146828280