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146031800 = 23522512909
BaseRepresentation
bin10001011010001…
…00010010111000
3101011210011222012
420231010102320
5244341004200
622253545052
73422151455
oct1055042270
9334704865
10146031800
1175481942
1240aa5188
132433c965
141557482c
15cc48a35
hex8b444b8

146031800 has 48 divisors (see below), whose sum is σ = 340993800. Its totient is φ = 58160000.

The previous prime is 146031799. The next prime is 146031803. The reversal of 146031800 is 8130641.

146031800 is nontrivially palindromic in base 16.

It is a super-2 number, since 2×1460318002 = 42650573222480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146031803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 48746 + ... + 51654.

Almost surely, 2146031800 is an apocalyptic number.

146031800 is a gapful number since it is divisible by the number (10) 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 146031800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170496900).

146031800 is an abundant number, since it is smaller than the sum of its proper divisors (194962000).

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

146031800 is a wasteful number, since it uses less digits than its factorization.

146031800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 146031800 is about 12084.3617953122. The cubic root of 146031800 is about 526.6019700122.

The spelling of 146031800 in words is "one hundred forty-six million, thirty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 251 502 1004 1255 2008 2510 2909 5020 5818 6275 10040 11636 12550 14545 23272 25100 29090 50200 58180 72725 116360 145450 290900 581800 730159 1460318 2920636 3650795 5841272 7301590 14603180 18253975 29206360 36507950 73015900 146031800