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126252630 = 23257200401
BaseRepresentation
bin1111000011001…
…11011001010110
322210120022001100
413201213121112
5224310041010
620310010530
73062062320
oct741473126
9283508040
10126252630
11652a2519
1236346a46
1320205bca
1412aa6610
15b13d2c0
hex7867656

126252630 has 48 divisors (see below), whose sum is σ = 375152544. Its totient is φ = 28857600.

The previous prime is 126252613. The next prime is 126252703. The reversal of 126252630 is 36252621.

126252630 is a `hidden beast` number, since 1 + 2 + 6 + 25 + 2 + 630 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 126252594 and 126252603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99571 + ... + 100830.

It is an arithmetic number, because the mean of its divisors is an integer number (7815678).

Almost surely, 2126252630 is an apocalyptic number.

126252630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126252630 is an abundant number, since it is smaller than the sum of its proper divisors (248899914).

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

126252630 is a wasteful number, since it uses less digits than its factorization.

126252630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200421 (or 200418 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 126252630 is about 11236.2195599766. The cubic root of 126252630 is about 501.6646252288.

Subtracting from 126252630 its reverse (36252621), we obtain a palindrome (90000009).

The spelling of 126252630 in words is "one hundred twenty-six million, two hundred fifty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 200401 400802 601203 1002005 1202406 1402807 1803609 2004010 2805614 3006015 3607218 4208421 6012030 7014035 8416842 9018045 12625263 14028070 18036090 21042105 25250526 42084210 63126315 126252630