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126525330 = 23253733769
BaseRepresentation
bin1111000101010…
…01111110010010
322211002011010100
413202221332102
5224342302310
620315513230
73064306341
oct742517622
9284064110
10126525330
1165469398
1236458816
13202a0079
1412b37b58
15b193ec0
hex78a9f92

126525330 has 48 divisors (see below), whose sum is σ = 329935320. Its totient is φ = 33640704.

The previous prime is 126525319. The next prime is 126525331. The reversal of 126525330 is 33525621.

126525330 is a `hidden beast` number, since 1 + 2 + 652 + 5 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118004769 + 8520561 = 10863^2 + 2919^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126525294 and 126525303.

It is not an unprimeable number, because it can be changed into a prime (126525331) 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, 31686 + ... + 35454.

Almost surely, 2126525330 is an apocalyptic number.

126525330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126525330 is an abundant number, since it is smaller than the sum of its proper divisors (203409990).

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

126525330 is a wasteful number, since it uses less digits than its factorization.

126525330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 126525330 is about 11248.3478786887. The cubic root of 126525330 is about 502.0255564943.

The spelling of 126525330 in words is "one hundred twenty-six million, five hundred twenty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 373 746 1119 1865 2238 3357 3730 3769 5595 6714 7538 11190 11307 16785 18845 22614 33570 33921 37690 56535 67842 113070 169605 339210 1405837 2811674 4217511 7029185 8435022 12652533 14058370 21087555 25305066 42175110 63262665 126525330