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126908325 = 32524113757
BaseRepresentation
bin1111001000001…
…11011110100101
322211210121111100
413210013132211
5224442031300
620332030313
73100463055
oct744073645
9284717440
10126908325
1165700115
1236602399
13203a54ab
1412bd7565
15b21c700
hex79077a5

126908325 has 36 divisors (see below), whose sum is σ = 232867908. Its totient is φ = 66028800.

The previous prime is 126908317. The next prime is 126908329. The reversal of 126908325 is 523809621.

It can be written as a sum of positive squares in 6 ways, for example, as 54420129 + 72488196 = 7377^2 + 8514^2 .

It is not a de Polignac number, because 126908325 - 23 = 126908317 is a prime.

It is a super-2 number, since 2×1269083252 = 32211445908611250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 126908325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126908329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2347 + ... + 16103.

It is an arithmetic number, because the mean of its divisors is an integer number (6468553).

Almost surely, 2126908325 is an apocalyptic number.

126908325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126908325 is a deficient number, since it is larger than the sum of its proper divisors (105959583).

126908325 is a wasteful number, since it uses less digits than its factorization.

126908325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13814 (or 13806 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 126908325 is about 11265.3595149023. The cubic root of 126908325 is about 502.5315937661.

The spelling of 126908325 in words is "one hundred twenty-six million, nine hundred eight thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 1025 1845 3075 9225 13757 41271 68785 123813 206355 343925 564037 619065 1031775 1692111 2820185 3095325 5076333 8460555 14100925 25381665 42302775 126908325