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134432040 = 23351278821
BaseRepresentation
bin10000000001101…
…00010100101000
3100100221212002110
420000310110220
5233403311130
621201202320
73221440101
oct1000642450
9310855073
10134432040
1169979866
12390303a0
1321b0abb2
1413bd53a8
15bc06ab0
hex8034528

134432040 has 64 divisors (see below), whose sum is σ = 406517760. Its totient is φ = 35562240.

The previous prime is 134432017. The next prime is 134432047. The reversal of 134432040 is 40234431.

It is a junction number, because it is equal to n+sod(n) for n = 134431998 and 134432016.

It is not an unprimeable number, because it can be changed into a prime (134432047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10830 + ... + 19650.

It is an arithmetic number, because the mean of its divisors is an integer number (6351840).

Almost surely, 2134432040 is an apocalyptic number.

134432040 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 134432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203258880).

134432040 is an abundant number, since it is smaller than the sum of its proper divisors (272085720).

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

134432040 is a wasteful number, since it uses less digits than its factorization.

134432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8962 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 134432040 is about 11594.4831708878. The cubic root of 134432040 is about 512.2723668844.

Adding to 134432040 its reverse (40234431), we get a palindrome (174666471).

The spelling of 134432040 in words is "one hundred thirty-four million, four hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 8821 15240 17642 26463 35284 44105 52926 70568 88210 105852 132315 176420 211704 264630 352840 529260 1058520 1120267 2240534 3360801 4481068 5601335 6721602 8962136 11202670 13443204 16804005 22405340 26886408 33608010 44810680 67216020 134432040