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138218760 = 23325383941
BaseRepresentation
bin10000011110100…
…00110100001000
3100122002020111100
420033100310020
5240341000020
621414301400
73265561101
oct1017206410
9318066440
10138218760
1171025889
123a357860
1322835664
14144dd3a8
15c203a90
hex83d0d08

138218760 has 48 divisors (see below), whose sum is σ = 449212140. Its totient is φ = 36858240.

The previous prime is 138218723. The next prime is 138218761. The reversal of 138218760 is 67812831.

It can be written as a sum of positive squares in 2 ways, for example, as 131469156 + 6749604 = 11466^2 + 2598^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138218761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191611 + ... + 192330.

Almost surely, 2138218760 is an apocalyptic number.

138218760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138218760 is an abundant number, since it is smaller than the sum of its proper divisors (310993380).

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

138218760 is a wasteful number, since it uses less digits than its factorization.

138218760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383958 (or 383951 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 138218760 is about 11756.6474813188. The cubic root of 138218760 is about 517.0378426582.

The spelling of 138218760 in words is "one hundred thirty-eight million, two hundred eighteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 383941 767882 1151823 1535764 1919705 2303646 3071528 3455469 3839410 4607292 5759115 6910938 7678820 9214584 11518230 13821876 15357640 17277345 23036460 27643752 34554690 46072920 69109380 138218760