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126420580 = 225111344203
BaseRepresentation
bin1111000100100…
…00011001100100
322210212211102201
413202100121210
5224330424310
620313344244
73063362056
oct742203144
9283784381
10126420580
11653a7720
1236408084
13202644a0
1412b0b8d6
15b172e3a
hex7890664

126420580 has 48 divisors (see below), whose sum is σ = 311903424. Its totient is φ = 42433920.

The previous prime is 126420557. The next prime is 126420631. The reversal of 126420580 is 85024621.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19242 + ... + 24961.

It is an arithmetic number, because the mean of its divisors is an integer number (6497988).

Almost surely, 2126420580 is an apocalyptic number.

126420580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126420580 is an abundant number, since it is smaller than the sum of its proper divisors (185482844).

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

126420580 is a wasteful number, since it uses less digits than its factorization.

126420580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44236 (or 44234 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 126420580 is about 11243.6906752187. The cubic root of 126420580 is about 501.8869763486.

The spelling of 126420580 in words is "one hundred twenty-six million, four hundred twenty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 44203 88406 176812 221015 442030 486233 574639 884060 972466 1149278 1944932 2298556 2431165 2873195 4862330 5746390 6321029 9724660 11492780 12642058 25284116 31605145 63210290 126420580