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126335020 = 225729337
BaseRepresentation
bin1111000011110…
…11100000101100
322210201111001211
413201323200230
5224320210040
620311444204
73062554450
oct741734054
9283644054
10126335020
1165349409
1236386664
1320234566
1412ac8660
15b1578ea
hex787b82c

126335020 has 96 divisors (see below), whose sum is σ = 322519680. Its totient is φ = 40690944.

The previous prime is 126335003. The next prime is 126335023. The reversal of 126335020 is 20533621.

It is a junction number, because it is equal to n+sod(n) for n = 126334982 and 126335000.

It is not an unprimeable number, because it can be changed into a prime (126335023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3414442 + ... + 3414478.

It is an arithmetic number, because the mean of its divisors is an integer number (3359580).

Almost surely, 2126335020 is an apocalyptic number.

126335020 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 126335020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161259840).

126335020 is an abundant number, since it is smaller than the sum of its proper divisors (196184660).

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

126335020 is an equidigital number, since it uses as much as digits as its factorization.

126335020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 126335020 is about 11239.8852307308. The cubic root of 126335020 is about 501.7737270112.

Adding to 126335020 its reverse (20533621), we get a palindrome (146868641).

The spelling of 126335020 in words is "one hundred twenty-six million, three hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 37 58 70 74 116 140 145 148 185 203 259 290 370 406 518 580 740 812 841 1015 1036 1073 1295 1682 2030 2146 2590 3364 4060 4205 4292 5180 5365 5887 7511 8410 10730 11774 15022 16820 21460 23548 24389 29435 30044 31117 37555 48778 58870 62234 75110 97556 117740 121945 124468 150220 155585 170723 217819 243890 311170 341446 435638 487780 622340 682892 853615 871276 902393 1089095 1707230 1804786 2178190 3414460 3609572 4356380 4511965 6316751 9023930 12633502 18047860 25267004 31583755 63167510 126335020