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146381640 = 23351219847
BaseRepresentation
bin10001011100110…
…01101101001000
3101012102221212020
420232121231020
5244433203030
622305244440
73425136426
oct1056315510
9335387766
10146381640
11756a0769
1241033720
1324432c72
1415626116
15ccb7510
hex8b99b48

146381640 has 32 divisors (see below), whose sum is σ = 439145280. Its totient is φ = 39035072.

The previous prime is 146381629. The next prime is 146381663. The reversal of 146381640 is 46183641.

It is a nialpdrome in base 15.

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 7 ways as a sum of consecutive naturals, for example, 609804 + ... + 610043.

It is an arithmetic number, because the mean of its divisors is an integer number (13723290).

Almost surely, 2146381640 is an apocalyptic number.

146381640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146381640 is an abundant number, since it is smaller than the sum of its proper divisors (292763640).

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

146381640 is a wasteful number, since it uses less digits than its factorization.

146381640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219861 (or 1219857 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 146381640 is about 12098.8280424180. The cubic root of 146381640 is about 527.0221513588.

The spelling of 146381640 in words is "one hundred forty-six million, three hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1219847 2439694 3659541 4879388 6099235 7319082 9758776 12198470 14638164 18297705 24396940 29276328 36595410 48793880 73190820 146381640