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136916010 = 232571123859
BaseRepresentation
bin10000010100100…
…10110000101010
3100112122001110100
420022102300222
5240022303020
621330330230
73251524020
oct1012226052
9315561410
10136916010
1170316030
1239a29976
132249a6ba
1414280710
15c047a90
hex8292c2a

136916010 has 192 divisors, whose sum is σ = 463656960. Its totient is φ = 27181440.

The previous prime is 136916009. The next prime is 136916027. The reversal of 136916010 is 10619631.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158961 + ... + 159819.

It is an arithmetic number, because the mean of its divisors is an integer number (2414880).

Almost surely, 2136916010 is an apocalyptic number.

136916010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136916010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231828480).

136916010 is an abundant number, since it is smaller than the sum of its proper divisors (326740950).

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

136916010 is a wasteful number, since it uses less digits than its factorization.

136916010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 136916010 is about 11701.1114856667. Note that the first 3 decimals coincide. The cubic root of 136916010 is about 515.4083040959.

It can be divided in two parts, 13691 and 6010, that added together give a triangular number (19701 = T198).

The spelling of 136916010 in words is "one hundred thirty-six million, nine hundred sixteen thousand, ten".