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126665420 = 22577112743
BaseRepresentation
bin1111000110011…
…00001011001100
322211100021021212
413203030023030
5224411243140
620322513552
73065431640
oct743141314
9284307255
10126665420
1165554672
12365058b8
132031ba6b
1412b72c20
15b1c0765
hex78cc2cc

126665420 has 48 divisors (see below), whose sum is σ = 308302848. Its totient is φ = 42813120.

The previous prime is 126665369. The next prime is 126665449. The reversal of 126665420 is 24566621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3569 + ... + 16311.

It is an arithmetic number, because the mean of its divisors is an integer number (6422976).

Almost surely, 2126665420 is an apocalyptic number.

126665420 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 126665420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154151424).

126665420 is an abundant number, since it is smaller than the sum of its proper divisors (181637428).

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

126665420 is a wasteful number, since it uses less digits than its factorization.

126665420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 12828 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 126665420 is about 11254.5732926664. The cubic root of 126665420 is about 502.2107705800.

The spelling of 126665420 in words is "one hundred twenty-six million, six hundred sixty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 12743 25486 50972 63715 89201 127430 178402 254860 356804 446005 892010 904753 1784020 1809506 3619012 4523765 6333271 9047530 12666542 18095060 25333084 31666355 63332710 126665420