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126856890 = 23251782913
BaseRepresentation
bin1111000111110…
…10111010111010
322211200222221100
413203322322322
5224433410030
620330552230
73100160106
oct743727272
9284628840
10126856890
1165675506
1236598676
1320387c64
1412bc2906
15b20c360
hex78faeba

126856890 has 48 divisors (see below), whose sum is σ = 349233768. Its totient is φ = 31838208.

The previous prime is 126856889. The next prime is 126856897. The reversal of 126856890 is 98658621.

It can be written as a sum of positive squares in 4 ways, for example, as 101545929 + 25310961 = 10077^2 + 5031^2 .

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 (126856897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39927 + ... + 42986.

Almost surely, 2126856890 is an apocalyptic number.

126856890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126856890 is an abundant number, since it is smaller than the sum of its proper divisors (222376878).

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

126856890 is a wasteful number, since it uses less digits than its factorization.

126856890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82943 (or 82940 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 126856890 is about 11263.0764003446. The cubic root of 126856890 is about 502.4636938201.

The spelling of 126856890 in words is "one hundred twenty-six million, eight hundred fifty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 82913 165826 248739 414565 497478 746217 829130 1243695 1409521 1492434 2487390 2819042 3731085 4228563 7047605 7462170 8457126 12685689 14095210 21142815 25371378 42285630 63428445 126856890