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126157428 = 22323504373
BaseRepresentation
bin1111000010100…
…00001001110100
322210101110110100
413201100021310
5224244014203
620303554100
73061214625
oct741201164
9283343410
10126157428
1165237a41
12362bb930
13201a1787
1412a7da4c
15b11eea3
hex7850274

126157428 has 18 divisors (see below), whose sum is σ = 318898034. Its totient is φ = 42052464.

The previous prime is 126157403. The next prime is 126157433. The reversal of 126157428 is 824751621.

126157428 is a `hidden beast` number, since 1 + 2 + 61 + 574 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108618084 + 17539344 = 10422^2 + 4188^2 .

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: 3504373 = 126157428 / (1 + 2 + 6 + 1 + 5 + 7 + 4 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 126157392 and 126157401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1752151 + ... + 1752222.

Almost surely, 2126157428 is an apocalyptic number.

126157428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126157428 is an abundant number, since it is smaller than the sum of its proper divisors (192740606).

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

126157428 is a wasteful number, since it uses less digits than its factorization.

126157428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504383 (or 3504378 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 126157428 is about 11231.9823717810. The cubic root of 126157428 is about 501.5384985225.

The spelling of 126157428 in words is "one hundred twenty-six million, one hundred fifty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3504373 7008746 10513119 14017492 21026238 31539357 42052476 63078714 126157428