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126624340 = 2257386729
BaseRepresentation
bin1111000110000…
…10001001010100
322211021011221101
413203002021110
5224403434330
620321555444
73065201113
oct743021124
9284234841
10126624340
1165526817
12364a5b84
132030615b
1412b61c7a
15b1b34ca
hex78c2254

126624340 has 24 divisors (see below), whose sum is σ = 269556840. Its totient is φ = 49955328.

The previous prime is 126624287. The next prime is 126624343. The reversal of 126624340 is 43426621.

It can be written as a sum of positive squares in 4 ways, for example, as 19377604 + 107246736 = 4402^2 + 10356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126624299 and 126624308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126624343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41905 + ... + 44824.

It is an arithmetic number, because the mean of its divisors is an integer number (11231535).

Almost surely, 2126624340 is an apocalyptic number.

126624340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126624340 is an abundant number, since it is smaller than the sum of its proper divisors (142932500).

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

126624340 is a wasteful number, since it uses less digits than its factorization.

126624340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86811 (or 86809 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 126624340 is about 11252.7481087955. The cubic root of 126624340 is about 502.1564725478.

The spelling of 126624340 in words is "one hundred twenty-six million, six hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 86729 173458 346916 433645 867290 1734580 6331217 12662434 25324868 31656085 63312170 126624340