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126982980 = 22325705461
BaseRepresentation
bin1111001000110…
…01101101000100
322211221101220100
413210121231010
5230001423410
620333404100
73101223525
oct744315504
9284841810
10126982980
1165751213
1236639630
1320400477
1412c1684c
15b2348c0
hex7919b44

126982980 has 36 divisors (see below), whose sum is σ = 385182252. Its totient is φ = 33862080.

The previous prime is 126982969. The next prime is 126982981. The reversal of 126982980 is 89289621.

It can be written as a sum of positive squares in 2 ways, for example, as 32970564 + 94012416 = 5742^2 + 9696^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1269829802 = 32249354419360800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126982981) 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, 352551 + ... + 352910.

It is an arithmetic number, because the mean of its divisors is an integer number (10699507).

Almost surely, 2126982980 is an apocalyptic number.

126982980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126982980 is an abundant number, since it is smaller than the sum of its proper divisors (258199272).

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

126982980 is a wasteful number, since it uses less digits than its factorization.

126982980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705476 (or 705471 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 126982980 is about 11268.6725038933. The cubic root of 126982980 is about 502.6301140748.

The spelling of 126982980 in words is "one hundred twenty-six million, nine hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 705461 1410922 2116383 2821844 3527305 4232766 6349149 7054610 8465532 10581915 12698298 14109220 21163830 25396596 31745745 42327660 63491490 126982980