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126253660 = 225131493259
BaseRepresentation
bin1111000011001…
…11101001011100
322210120100110111
413201213221130
5224310104120
620310015404
73062065321
oct741475134
9283510414
10126253660
11652a3275
1236347564
1320206510
1412aa6b48
15b13d75a
hex7867a5c

126253660 has 48 divisors (see below), whose sum is σ = 287532000. Its totient is φ = 46289664.

The previous prime is 126253649. The next prime is 126253663. The reversal of 126253660 is 66352621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126253663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37111 + ... + 40369.

It is an arithmetic number, because the mean of its divisors is an integer number (5990250).

Almost surely, 2126253660 is an apocalyptic number.

126253660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126253660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143766000).

126253660 is an abundant number, since it is smaller than the sum of its proper divisors (161278340).

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

126253660 is a wasteful number, since it uses less digits than its factorization.

126253660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 126253660 is about 11236.2653938041. The cubic root of 126253660 is about 501.6659894596.

The spelling of 126253660 in words is "one hundred twenty-six million, two hundred fifty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 1490 1937 2980 3259 3874 6518 7748 9685 13036 16295 19370 32590 38740 42367 65180 84734 169468 211835 423670 485591 847340 971182 1942364 2427955 4855910 6312683 9711820 12625366 25250732 31563415 63126830 126253660