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140116100 = 22525326437
BaseRepresentation
bin10000101101000…
…00000010000100
3100202122122011012
420112200002010
5241332203400
621523101352
73320652515
oct1026400204
9322578135
10140116100
1172101333
123ab11858
132304b147
1414874a0c
15c47ad35
hex85a0084

140116100 has 36 divisors (see below), whose sum is σ = 309800484. Its totient is φ = 54986880.

The previous prime is 140116087. The next prime is 140116111. The reversal of 140116100 is 1611041.

It can be written as a sum of positive squares in 6 ways, for example, as 3319684 + 136796416 = 1822^2 + 11696^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7919 + ... + 18518.

It is an arithmetic number, because the mean of its divisors is an integer number (8605569).

Almost surely, 2140116100 is an apocalyptic number.

140116100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140116100 is an abundant number, since it is smaller than the sum of its proper divisors (169684384).

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

140116100 is a wasteful number, since it uses less digits than its factorization.

140116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26504 (or 26497 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 140116100 is about 11837.0646699256. The cubic root of 140116100 is about 519.3929058988.

Adding to 140116100 its reverse (1611041), we get a palindrome (141727141).

The spelling of 140116100 in words is "one hundred forty million, one hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 26437 52874 105748 132185 264370 528740 660925 1321850 1401161 2643700 2802322 5604644 7005805 14011610 28023220 35029025 70058050 140116100