Search a number
-
+
126991080 = 23325352753
BaseRepresentation
bin1111001000110…
…11101011101000
322211221211000100
413210123223220
5230002203310
620333505400
73101256246
oct744335350
9284854010
10126991080
1165757307
1236642260
1320404068
1412c19796
15b236ec0
hex791bae8

126991080 has 48 divisors (see below), whose sum is σ = 412722180. Its totient is φ = 33864192.

The previous prime is 126991031. The next prime is 126991091. The reversal of 126991080 is 80199621.

It can be written as a sum of positive squares in 2 ways, for example, as 111640356 + 15350724 = 10566^2 + 3918^2 .

It is a super-2 number, since 2×1269910802 = 32253468799132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176017 + ... + 176736.

Almost surely, 2126991080 is an apocalyptic number.

126991080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126991080 is an abundant number, since it is smaller than the sum of its proper divisors (285731100).

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

126991080 is a wasteful number, since it uses less digits than its factorization.

126991080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352770 (or 352763 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 126991080 is about 11269.0319016320. The cubic root of 126991080 is about 502.6408011169.

The spelling of 126991080 in words is "one hundred twenty-six million, nine hundred ninety-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 352753 705506 1058259 1411012 1763765 2116518 2822024 3174777 3527530 4233036 5291295 6349554 7055060 8466072 10582590 12699108 14110120 15873885 21165180 25398216 31747770 42330360 63495540 126991080