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146300096 = 2617472861
BaseRepresentation
bin10001011100001…
…01110011000000
3101012021211000002
420232011303000
5244423100341
622303415132
73424346615
oct1056056300
9335254002
10146300096
1175645478
1240bb44a8
1324404b07
141560450c
15cc9d29b
hex8b85cc0

146300096 has 56 divisors (see below), whose sum is σ = 314041536. Its totient is φ = 67358720.

The previous prime is 146300071. The next prime is 146300123. The reversal of 146300096 is 690003641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49706 + ... + 52566.

Almost surely, 2146300096 is an apocalyptic number.

146300096 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 146300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157020768).

146300096 is an abundant number, since it is smaller than the sum of its proper divisors (167741440).

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

146300096 is a wasteful number, since it uses less digits than its factorization.

146300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 146300096 is about 12095.4576597994. The cubic root of 146300096 is about 526.9242714225.

The spelling of 146300096 in words is "one hundred forty-six million, three hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 136 188 272 376 544 752 799 1088 1504 1598 2861 3008 3196 5722 6392 11444 12784 22888 25568 45776 48637 51136 91552 97274 134467 183104 194548 268934 389096 537868 778192 1075736 1556384 2151472 2285939 3112768 4302944 4571878 8605888 9143756 18287512 36575024 73150048 146300096