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126821280 = 2535264211
BaseRepresentation
bin1111000111100…
…10001110100000
322211122012002110
413203302032200
5224431240110
620330115320
73066651225
oct743621640
9284565073
10126821280
1165650783
123657bb40
13203749a1
1412bb394c
15b201a20
hex78f23a0

126821280 has 48 divisors (see below), whose sum is σ = 399488544. Its totient is φ = 33818880.

The previous prime is 126821273. The next prime is 126821281. The reversal of 126821280 is 82128621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (126821281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131626 + ... + 132585.

It is an arithmetic number, because the mean of its divisors is an integer number (8322678).

Almost surely, 2126821280 is an apocalyptic number.

126821280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126821280 is an abundant number, since it is smaller than the sum of its proper divisors (272667264).

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

126821280 is a wasteful number, since it uses less digits than its factorization.

126821280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264229 (or 264221 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 126821280 is about 11261.4954601953. The cubic root of 126821280 is about 502.4166738891.

The spelling of 126821280 in words is "one hundred twenty-six million, eight hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 264211 528422 792633 1056844 1321055 1585266 2113688 2642110 3170532 3963165 4227376 5284220 6341064 7926330 8454752 10568440 12682128 15852660 21136880 25364256 31705320 42273760 63410640 126821280