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126380916 = 22323510581
BaseRepresentation
bin1111000100001…
…10101101110100
322210210211000200
413202012231310
5224323142131
620312440500
73063135324
oct742065564
9283724020
10126380916
116537a942
12363a9130
132024c40c
1412adb284
15b1662e6
hex7886b74

126380916 has 18 divisors (see below), whose sum is σ = 319462962. Its totient is φ = 42126960.

The previous prime is 126380911. The next prime is 126380921. The reversal of 126380916 is 619083621.

126380916 is a `hidden beast` number, since 1 + 2 + 638 + 0 + 9 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (126380911) and next prime (126380921).

It can be written as a sum of positive squares in only one way, i.e., 102819600 + 23561316 = 10140^2 + 4854^2 .

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: 3510581 = 126380916 / (1 + 2 + 6 + 3 + 8 + 0 + 9 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126380911) 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, 1755255 + ... + 1755326.

Almost surely, 2126380916 is an apocalyptic number.

It is an amenable number.

126380916 is an abundant number, since it is smaller than the sum of its proper divisors (193082046).

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

126380916 is a wasteful number, since it uses less digits than its factorization.

126380916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510591 (or 3510586 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 126380916 is about 11241.9267031946. The cubic root of 126380916 is about 501.8344824501.

The spelling of 126380916 in words is "one hundred twenty-six million, three hundred eighty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3510581 7021162 10531743 14042324 21063486 31595229 42126972 63190458 126380916