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136641960 = 233257134397
BaseRepresentation
bin10000010010011…
…11110110101000
3100112010010112100
420021033312220
5234440020320
621320413400
73246303030
oct1011176650
9315103470
10136641960
1170149144
1239917260
1322402a40
141420c8c0
15bee1790
hex824fda8

136641960 has 384 divisors, whose sum is σ = 565044480. Its totient is φ = 27869184.

The previous prime is 136641959. The next prime is 136641961. The reversal of 136641960 is 69146631.

136641960 is a `hidden beast` number, since 1 + 3 + 6 + 641 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136641959) and next prime (136641961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136641961) 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 95 ways as a sum of consecutive naturals, for example, 1408632 + ... + 1408728.

It is an arithmetic number, because the mean of its divisors is an integer number (1471470).

Almost surely, 2136641960 is an apocalyptic number.

136641960 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 136641960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282522240).

136641960 is an abundant number, since it is smaller than the sum of its proper divisors (428402520).

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

136641960 is a wasteful number, since it uses less digits than its factorization.

136641960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 136641960 is about 11689.3951939354. The cubic root of 136641960 is about 515.0641953470.

The spelling of 136641960 in words is "one hundred thirty-six million, six hundred forty-one thousand, nine hundred sixty".