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138402340 = 22531322109
BaseRepresentation
bin10000011111111…
…01101000100100
3100122102120022121
420033331220210
5240412333330
621422235324
73300254236
oct1017755044
9318376277
10138402340
11711407aa
123a425b44
132289b09b
141454a256
15c23d17a
hex83fda24

138402340 has 24 divisors (see below), whose sum is σ = 291586680. Its totient is φ = 55181568.

The previous prime is 138402331. The next prime is 138402349. The reversal of 138402340 is 43204831.

138402340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138402331) and next prime (138402349).

It can be written as a sum of positive squares in 4 ways, for example, as 8259876 + 130142464 = 2874^2 + 11408^2 .

It is not an unprimeable number, because it can be changed into a prime (138402349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4795 + ... + 17314.

It is an arithmetic number, because the mean of its divisors is an integer number (12149445).

Almost surely, 2138402340 is an apocalyptic number.

138402340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138402340 is an abundant number, since it is smaller than the sum of its proper divisors (153184340).

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

138402340 is a wasteful number, since it uses less digits than its factorization.

138402340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22431 (or 22429 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 138402340 is about 11764.4523884455. The cubic root of 138402340 is about 517.2666485872.

The spelling of 138402340 in words is "one hundred thirty-eight million, four hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 313 626 1252 1565 3130 6260 22109 44218 88436 110545 221090 442180 6920117 13840234 27680468 34600585 69201170 138402340