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126885400 = 23525910753
BaseRepresentation
bin1111001000000…
…01111000011000
322211202110001021
413210001320120
5224440313100
620331332224
73100336165
oct744017030
9284673037
10126885400
1165694974
12365b1074
1320397c25
1412bcd06c
15b215a1a
hex7901e18

126885400 has 48 divisors (see below), whose sum is σ = 300036600. Its totient is φ = 49889280.

The previous prime is 126885397. The next prime is 126885413. The reversal of 126885400 is 4588621.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6424 + ... + 17176.

Almost surely, 2126885400 is an apocalyptic number.

126885400 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 126885400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150018300).

126885400 is an abundant number, since it is smaller than the sum of its proper divisors (173151200).

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

126885400 is a wasteful number, since it uses less digits than its factorization.

126885400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10828 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 126885400 is about 11264.3419692408. The cubic root of 126885400 is about 502.5013324717.

It can be divided in two parts, 1268 and 85400, that added together give a palindrome (86668).

The spelling of 126885400 in words is "one hundred twenty-six million, eight hundred eighty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 2360 2950 5900 10753 11800 21506 43012 53765 86024 107530 215060 268825 430120 537650 634427 1075300 1268854 2150600 2537708 3172135 5075416 6344270 12688540 15860675 25377080 31721350 63442700 126885400