Search a number
-
+
126908172 = 223231113717
BaseRepresentation
bin1111001000001…
…11011100001100
322211210121021200
413210013130030
5224442030142
620332025500
73100462446
oct744073414
9284717250
10126908172
11656aaa96
1236602290
13203a53c1
1412bd7496
15b21c64c
hex790770c

126908172 has 36 divisors (see below), whose sum is σ = 331146816. Its totient is φ = 40937760.

The previous prime is 126908167. The next prime is 126908183. The reversal of 126908172 is 271809621.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1269081722 = 32211368240763168, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 55743 + ... + 57974.

Almost surely, 2126908172 is an apocalyptic number.

126908172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126908172 is an abundant number, since it is smaller than the sum of its proper divisors (204238644).

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

126908172 is a wasteful number, since it uses less digits than its factorization.

126908172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113758 (or 113753 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 126908172 is about 11265.3527241716. The cubic root of 126908172 is about 502.5313918163.

The spelling of 126908172 in words is "one hundred twenty-six million, nine hundred eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 113717 227434 341151 454868 682302 1023453 1364604 2046906 3525227 4093812 7050454 10575681 14100908 21151362 31727043 42302724 63454086 126908172