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138043720 = 2354122053
BaseRepresentation
bin10000011101001…
…10000101001000
3100121202100101101
420032212011020
5240314344340
621410431144
73264231553
oct1016460510
9317670341
10138043720
1170a16321
123a2924b4
13227a3a99
141449569a
15c1bbc9a
hex83a6148

138043720 has 48 divisors (see below), whose sum is σ = 318513780. Its totient is φ = 53844480.

The previous prime is 138043693. The next prime is 138043733. The reversal of 138043720 is 27340831.

It can be written as a sum of positive squares in 6 ways, for example, as 3437316 + 134606404 = 1854^2 + 11602^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66214 + ... + 68266.

Almost surely, 2138043720 is an apocalyptic number.

138043720 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 138043720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159256890).

138043720 is an abundant number, since it is smaller than the sum of its proper divisors (180470060).

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

138043720 is a wasteful number, since it uses less digits than its factorization.

138043720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 138043720 is about 11749.2008238859. The cubic root of 138043720 is about 516.8194918476.

The spelling of 138043720 in words is "one hundred thirty-eight million, forty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1681 2053 3362 4106 6724 8212 8405 10265 13448 16424 16810 20530 33620 41060 67240 82120 84173 168346 336692 420865 673384 841730 1683460 3366920 3451093 6902186 13804372 17255465 27608744 34510930 69021860 138043720