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126546440 = 23511327997
BaseRepresentation
bin1111000101011…
…11001000001000
322211010020002012
413202233020020
5224343441230
620320155052
73064425026
oct742571010
9284106065
10126546440
1165483239
1236468a88
13202a9867
1412b41716
15b19a395
hex78af208

126546440 has 32 divisors (see below), whose sum is σ = 287259480. Its totient is φ = 50168832.

The previous prime is 126546397. The next prime is 126546461. The reversal of 126546440 is 44645621.

It can be written as a sum of positive squares in 4 ways, for example, as 94984516 + 31561924 = 9746^2 + 5618^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126546397 and 126546406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9479 + ... + 18518.

Almost surely, 2126546440 is an apocalyptic number.

126546440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126546440 is an abundant number, since it is smaller than the sum of its proper divisors (160713040).

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

126546440 is a wasteful number, since it uses less digits than its factorization.

126546440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28121 (or 28117 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 126546440 is about 11249.2861995773. The cubic root of 126546440 is about 502.0534749360.

The spelling of 126546440 in words is "one hundred twenty-six million, five hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 27997 55994 111988 139985 223976 279970 559940 1119880 3163661 6327322 12654644 15818305 25309288 31636610 63273220 126546440