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136093140 = 223254671619
BaseRepresentation
bin10000001110010…
…01110111010100
3100111002020200200
420013021313110
5234314440030
621300540500
73241526001
oct1007116724
9314066620
10136093140
116a903877
12396b1730
132226ccb1
14141088a8
15be33d60
hex81c9dd4

136093140 has 72 divisors (see below), whose sum is σ = 413955360. Its totient is φ = 36191424.

The previous prime is 136093121. The next prime is 136093159. The reversal of 136093140 is 41390631.

136093140 is a `hidden beast` number, since 13 + 609 + 3 + 1 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (136093121) and next prime (136093159).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 83251 + ... + 84869.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2136093140 is an apocalyptic number.

136093140 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 136093140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206977680).

136093140 is an abundant number, since it is smaller than the sum of its proper divisors (277862220).

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

136093140 is a wasteful number, since it uses less digits than its factorization.

136093140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 136093140 is about 11665.8964507662. The cubic root of 136093140 is about 514.3736879927.

The spelling of 136093140 in words is "one hundred thirty-six million, ninety-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 467 934 1401 1619 1868 2335 2802 3238 4203 4670 4857 5604 6476 7005 8095 8406 9340 9714 14010 14571 16190 16812 19428 21015 24285 28020 29142 32380 42030 48570 58284 72855 84060 97140 145710 291420 756073 1512146 2268219 3024292 3780365 4536438 6804657 7560730 9072876 11341095 13609314 15121460 22682190 27218628 34023285 45364380 68046570 136093140