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126889021 = 737691709
BaseRepresentation
bin1111001000000…
…10110000111101
322211202122000101
413210002300331
5224440422041
620331401101
73100352560
oct744026075
9284678011
10126889021
1165697666
12365b3191
132039977c
1412bd04d7
15b216b31
hex7902c3d

126889021 has 16 divisors (see below), whose sum is σ = 149361280. Its totient is φ = 105520320.

The previous prime is 126889019. The next prime is 126889031. The reversal of 126889021 is 120988621.

It is a cyclic number.

It is not a de Polignac number, because 126889021 - 21 = 126889019 is a prime.

It is a super-2 number, since 2×1268890212 = 32201647300676882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126889031) 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 15 ways as a sum of consecutive naturals, for example, 178615 + ... + 179323.

It is an arithmetic number, because the mean of its divisors is an integer number (9335080).

Almost surely, 2126889021 is an apocalyptic number.

It is an amenable number.

126889021 is a deficient number, since it is larger than the sum of its proper divisors (22472259).

126889021 is an equidigital number, since it uses as much as digits as its factorization.

126889021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 126889021 is about 11264.5026965242. The cubic root of 126889021 is about 502.5061124806.

The spelling of 126889021 in words is "one hundred twenty-six million, eight hundred eighty-nine thousand, twenty-one".

Divisors: 1 7 37 259 691 709 4837 4963 25567 26233 178969 183631 489919 3429433 18127003 126889021