Search a number
-
+
126947590 = 257111131459
BaseRepresentation
bin1111001000100…
…01000100000110
322211212121100121
413210101010012
5224444310330
620332532154
73101015410
oct744210406
9284777317
10126947590
1165727670
123662105a
13203ba323
1412c079b0
15b22917a
hex7911106

126947590 has 64 divisors (see below), whose sum is σ = 287608320. Its totient is φ = 39191040.

The previous prime is 126947543. The next prime is 126947591. The reversal of 126947590 is 95749621.

It is a happy number.

It is a super-2 number, since 2×1269475902 = 32231381213616200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126947591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86281 + ... + 87739.

It is an arithmetic number, because the mean of its divisors is an integer number (4493880).

Almost surely, 2126947590 is an apocalyptic number.

126947590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126947590 is an abundant number, since it is smaller than the sum of its proper divisors (160660730).

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

126947590 is a wasteful number, since it uses less digits than its factorization.

126947590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597.

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 126947590 is about 11267.1021119008. The cubic root of 126947590 is about 502.5834156052.

The spelling of 126947590 in words is "one hundred twenty-six million, nine hundred forty-seven thousand, five hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 113 154 226 385 565 770 791 1130 1243 1459 1582 2486 2918 3955 6215 7295 7910 8701 10213 12430 14590 16049 17402 20426 32098 43505 51065 80245 87010 102130 112343 160490 164867 224686 329734 561715 824335 1123430 1154069 1648670 1813537 2308138 3627074 5770345 9067685 11540690 12694759 18135370 25389518 63473795 126947590