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126798840 = 23325767751
BaseRepresentation
bin1111000111011…
…00101111111000
322211121001022100
413203230233320
5224430030330
620325423400
73066525630
oct743545770
9284531270
10126798840
1165635933
123656ab60
13203676cc
1412ba96c0
15b1ea060
hex78ecbf8

126798840 has 192 divisors, whose sum is σ = 478632960. Its totient is φ = 28512000.

The previous prime is 126798803. The next prime is 126798863. The reversal of 126798840 is 48897621.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168465 + ... + 169215.

It is an arithmetic number, because the mean of its divisors is an integer number (2492880).

Almost surely, 2126798840 is an apocalyptic number.

126798840 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 126798840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239316480).

126798840 is an abundant number, since it is smaller than the sum of its proper divisors (351834120).

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

126798840 is a wasteful number, since it uses less digits than its factorization.

126798840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 126798840 is about 11260.4991008392. The cubic root of 126798840 is about 502.3870392852.

It can be divided in two parts, 1267988 and 40, that added together give a triangular number (1268028 = T1592).

The spelling of 126798840 in words is "one hundred twenty-six million, seven hundred ninety-eight thousand, eight hundred forty".