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126699840 = 26325293741
BaseRepresentation
bin1111000110101…
…00100101000000
322211102000111200
413203110211000
5224413343330
620323341200
73065634201
oct743244500
9284360450
10126699840
1165578513
1236521800
1320331627
1412b815a8
15b1caa60
hex78d4940

126699840 has 336 divisors, whose sum is σ = 474299280. Its totient is φ = 30965760.

The previous prime is 126699791. The next prime is 126699863. The reversal of 126699840 is 48996621.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1617984 + 125081856 = 1272^2 + 11184^2 .

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3090220 + ... + 3090260.

It is an arithmetic number, because the mean of its divisors is an integer number (1411605).

Almost surely, 2126699840 is an apocalyptic number.

126699840 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 126699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237149640).

126699840 is an abundant number, since it is smaller than the sum of its proper divisors (347599440).

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

126699840 is a wasteful number, since it uses less digits than its factorization.

126699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 126699840 is about 11256.1023449505. The cubic root of 126699840 is about 502.2562566308.

The spelling of 126699840 in words is "one hundred twenty-six million, six hundred ninety-nine thousand, eight hundred forty".