Search a number
-
+
138248680 = 2353456217
BaseRepresentation
bin10000011110110…
…00000111101000
3100122010202112111
420033120013220
5240342424210
621415052104
73266044243
oct1017300750
9318122474
10138248680
1171046309
123a371034
132284616b
141450a25a
15c20c88a
hex83d81e8

138248680 has 16 divisors (see below), whose sum is σ = 311059620. Its totient is φ = 55299456.

The previous prime is 138248647. The next prime is 138248711. The reversal of 138248680 is 86842831.

It can be written as a sum of positive squares in 2 ways, for example, as 136469124 + 1779556 = 11682^2 + 1334^2 .

It is a super-2 number, since 2×1382486802 = 38225395043484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 3456217 = 138248680 / (1 + 3 + 8 + 2 + 4 + 8 + 6 + 8 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1728069 + ... + 1728148.

Almost surely, 2138248680 is an apocalyptic number.

138248680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138248680 is an abundant number, since it is smaller than the sum of its proper divisors (172810940).

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

138248680 is a wasteful number, since it uses less digits than its factorization.

138248680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456228 (or 3456224 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 138248680 is about 11757.9198840611. The cubic root of 138248680 is about 517.0751474258.

The spelling of 138248680 in words is "one hundred thirty-eight million, two hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 3456217 6912434 13824868 17281085 27649736 34562170 69124340 138248680