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100015140 = 22351666919
BaseRepresentation
bin1011111011000…
…01110000100100
320222012021222110
411331201300210
5201100441030
613531401020
72323054221
oct575416044
9228167873
10100015140
1151501945
12295b3170
131794a674
14d3d6948
158ba91b0
hex5f61c24

100015140 has 24 divisors (see below), whose sum is σ = 280042560. Its totient is φ = 26670688.

The previous prime is 100015133. The next prime is 100015141. The reversal of 100015140 is 41510001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100015141) 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, 833400 + ... + 833519.

It is an arithmetic number, because the mean of its divisors is an integer number (11668440).

Almost surely, 2100015140 is an apocalyptic number.

100015140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100015140 is an abundant number, since it is smaller than the sum of its proper divisors (180027420).

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

100015140 is a wasteful number, since it uses less digits than its factorization.

100015140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666931 (or 1666929 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 100015140 is about 10000.7569713497. The cubic root of 100015140 is about 464.1823067309.

Adding to 100015140 its reverse (41510001), we get a palindrome (141525141).

The spelling of 100015140 in words is "one hundred million, fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1666919 3333838 5000757 6667676 8334595 10001514 16669190 20003028 25003785 33338380 50007570 100015140