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126890505 = 32573311217
BaseRepresentation
bin1111001000000…
…11001000001001
322211202201001100
413210003020021
5224440444010
620331412013
73100360110
oct744031011
9284681040
10126890505
1165698795
12365b4009
132039a351
1412bd0c77
15b2172c0
hex7903209

126890505 has 48 divisors (see below), whose sum is σ = 252330624. Its totient is φ = 57784320.

The previous prime is 126890411. The next prime is 126890507. The reversal of 126890505 is 505098621.

It is a happy number.

126890505 is a `hidden beast` number, since 1 + 2 + 68 + 90 + 505 = 666.

It is not a de Polignac number, because 126890505 - 213 = 126882313 is a prime.

It is a super-2 number, since 2×1268905052 = 32202400518310050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 126890505.

It is not an unprimeable number, because it can be changed into a prime (126890507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103657 + ... + 104873.

It is an arithmetic number, because the mean of its divisors is an integer number (5256888).

Almost surely, 2126890505 is an apocalyptic number.

126890505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126890505 is a deficient number, since it is larger than the sum of its proper divisors (125440119).

126890505 is a wasteful number, since it uses less digits than its factorization.

126890505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 126890505 is about 11264.5685669714. The cubic root of 126890505 is about 502.5080714527.

The spelling of 126890505 in words is "one hundred twenty-six million, eight hundred ninety thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 331 993 1217 1655 2317 2979 3651 4965 6085 6951 8519 10953 11585 14895 18255 20853 25557 34755 42595 54765 76671 104265 127785 383355 402827 1208481 2014135 2819789 3625443 6042405 8459367 14098945 18127215 25378101 42296835 126890505