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126840900 = 22352422803
BaseRepresentation
bin1111000111101…
…11000001000100
322211200012000010
413203313001010
5224432402100
620330350220
73100062354
oct743670104
9284605003
10126840900
116566449a
123658b370
13203808b4
1412bbab64
15b207750
hex78f7044

126840900 has 36 divisors (see below), whose sum is σ = 366993872. Its totient is φ = 33824160.

The previous prime is 126840887. The next prime is 126840907. The reversal of 126840900 is 9048621.

126840900 = T13 + T14 + ... + T912.

It is a super-2 number, since 2×1268409002 = 32177227825620000, which contains 22 as substring.

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 (126840907) 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 11 ways as a sum of consecutive naturals, for example, 211102 + ... + 211701.

Almost surely, 2126840900 is an apocalyptic number.

126840900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126840900 is an abundant number, since it is smaller than the sum of its proper divisors (240152972).

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

126840900 is a wasteful number, since it uses less digits than its factorization.

126840900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422820 (or 422813 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 126840900 is about 11262.3665363901. The cubic root of 126840900 is about 502.4425814940.

The spelling of 126840900 in words is "one hundred twenty-six million, eight hundred forty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 422803 845606 1268409 1691212 2114015 2536818 4228030 5073636 6342045 8456060 10570075 12684090 21140150 25368180 31710225 42280300 63420450 126840900