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135641916 = 22323767831
BaseRepresentation
bin10000001010110…
…11101100111100
3100110020022201200
420011123230330
5234211020131
621243135500
73234636324
oct1005335474
9313208650
10135641916
116a625863
1239514590
13221427b7
141402c284
15bd952e6
hex815bb3c

135641916 has 18 divisors (see below), whose sum is σ = 342872712. Its totient is φ = 45213960.

The previous prime is 135641911. The next prime is 135641921. The reversal of 135641916 is 619146531.

135641916 is a `hidden beast` number, since 1 + 3 + 5 + 641 + 9 + 1 + 6 = 666.

135641916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135641911) and next prime (135641921).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3767831 = 135641916 / (1 + 3 + 5 + 6 + 4 + 1 + 9 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135641911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1883880 + ... + 1883951.

It is an arithmetic number, because the mean of its divisors is an integer number (19048484).

Almost surely, 2135641916 is an apocalyptic number.

It is an amenable number.

135641916 is an abundant number, since it is smaller than the sum of its proper divisors (207230796).

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

135641916 is a wasteful number, since it uses less digits than its factorization.

135641916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767841 (or 3767836 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 135641916 is about 11646.5409457057. The cubic root of 135641916 is about 513.8045808422.

The spelling of 135641916 in words is "one hundred thirty-five million, six hundred forty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3767831 7535662 11303493 15071324 22606986 33910479 45213972 67820958 135641916