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138461340 = 22352307689
BaseRepresentation
bin10000100000011…
…00000010011100
3100122112120020210
420100030002130
5240421230330
621423412420
73300621243
oct1020140234
9318476223
10138461340
1171181066
123a454110
13228bbbb4
141456395a
15c2508b0
hex840c09c

138461340 has 24 divisors (see below), whose sum is σ = 387691920. Its totient is φ = 36923008.

The previous prime is 138461327. The next prime is 138461359. The reversal of 138461340 is 43164831.

138461340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 138461298 and 138461307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1153785 + ... + 1153904.

It is an arithmetic number, because the mean of its divisors is an integer number (16153830).

Almost surely, 2138461340 is an apocalyptic number.

138461340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138461340 is an abundant number, since it is smaller than the sum of its proper divisors (249230580).

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

138461340 is a wasteful number, since it uses less digits than its factorization.

138461340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307701 (or 2307699 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 138461340 is about 11766.9596752942. The cubic root of 138461340 is about 517.3401405928.

The spelling of 138461340 in words is "one hundred thirty-eight million, four hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2307689 4615378 6923067 9230756 11538445 13846134 23076890 27692268 34615335 46153780 69230670 138461340