Search a number
-
+
126000500 = 2253252001
BaseRepresentation
bin1111000001010…
…01110101110100
322210002111012012
413200221311310
5224224004000
620300343352
73056662253
oct740516564
9283074165
10126000500
116514004a
1236244b58
1320148212
1412a3c79a
15b0dd735
hex7829d74

126000500 has 24 divisors (see below), whose sum is σ = 275186184. Its totient is φ = 50400000.

The previous prime is 126000499. The next prime is 126000541. The reversal of 126000500 is 5000621.

126000500 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6666724 + 119333776 = 2582^2 + 10924^2 .

It is a super-2 number, since 2×1260005002 = 31752252000500000, which contains 22 as substring.

126000500 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125501 + ... + 126500.

It is an arithmetic number, because the mean of its divisors is an integer number (11466091).

Almost surely, 2126000500 is an apocalyptic number.

126000500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126000500 is an abundant number, since it is smaller than the sum of its proper divisors (149185684).

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

126000500 is a wasteful number, since it uses less digits than its factorization.

126000500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252020 (or 252008 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 126000500 is about 11224.9944320699. The cubic root of 126000500 is about 501.3304566302.

It can be divided in two parts, 12 and 6000500, that multiplied together give a triangular number (72006000 = T12000).

The spelling of 126000500 in words is "one hundred twenty-six million, five hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 252001 504002 1008004 1260005 2520010 5040020 6300025 12600050 25200100 31500125 63000250 126000500