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138426470 = 25721331701
BaseRepresentation
bin10000100000000…
…11100001100110
3100122110210102022
420100003201212
5240414121340
621422543142
73300414500
oct1020034146
9318423368
10138426470
1171157946
123a437ab2
13228a9070
1414554d70
15c2453b5
hex8403866

138426470 has 96 divisors (see below), whose sum is σ = 322672896. Its totient is φ = 42336000.

The previous prime is 138426413. The next prime is 138426493. The reversal of 138426470 is 74624831.

138426470 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 (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138426470.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197120 + ... + 197820.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2138426470 is an apocalyptic number.

138426470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138426470 is an abundant number, since it is smaller than the sum of its proper divisors (184246426).

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

138426470 is a wasteful number, since it uses less digits than its factorization.

138426470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 138426470 is about 11765.4778908466. The cubic root of 138426470 is about 517.2967080956.

The spelling of 138426470 in words is "one hundred thirty-eight million, four hundred twenty-six thousand, four hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 31 35 49 62 65 70 91 98 130 155 182 217 245 310 403 434 455 490 637 701 806 910 1085 1274 1402 1519 2015 2170 2821 3038 3185 3505 4030 4907 5642 6370 7010 7595 9113 9814 14105 15190 18226 19747 21731 24535 28210 34349 39494 43462 45565 49070 63791 68698 91130 98735 108655 127582 152117 171745 197470 217310 282503 304234 318955 343490 446537 565006 637910 760585 893074 1064819 1412515 1521170 1977521 2129638 2232685 2825030 3955042 4465370 5324095 9887605 10648190 13842647 19775210 27685294 69213235 138426470