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126120990 = 2358350651
BaseRepresentation
bin1111000010001…
…11010000011110
322210022121110210
413201013100132
5224241332430
620303113250
73061003452
oct741072036
9283277423
10126120990
1165212626
12362a2826
132018b008
1412a70662
15b1142b0
hex784741e

126120990 has 32 divisors (see below), whose sum is σ = 306343296. Its totient is φ = 33226400.

The previous prime is 126120959. The next prime is 126120991. The reversal of 126120990 is 99021621.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126120991) 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 15 ways as a sum of consecutive naturals, for example, 22836 + ... + 27815.

It is an arithmetic number, because the mean of its divisors is an integer number (9573228).

Almost surely, 2126120990 is an apocalyptic number.

126120990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126120990 is an abundant number, since it is smaller than the sum of its proper divisors (180222306).

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

126120990 is a wasteful number, since it uses less digits than its factorization.

126120990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50744.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 126120990 is about 11230.3601901275. The cubic root of 126120990 is about 501.4902074842.

The spelling of 126120990 in words is "one hundred twenty-six million, one hundred twenty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 498 830 1245 2490 50651 101302 151953 253255 303906 506510 759765 1519530 4204033 8408066 12612099 21020165 25224198 42040330 63060495 126120990