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138917646 = 2337252501
BaseRepresentation
bin10000100011110…
…11011100001110
3100200101202012000
420101323130032
5241030331041
621441253130
73304531500
oct1021733416
9320352160
10138917646
117146297a
123a6341a6
1322a1b7ba
1414641d70
15c2e0bb6
hex847b70e

138917646 has 48 divisors (see below), whose sum is σ = 359113680. Its totient is φ = 39690000.

The previous prime is 138917641. The next prime is 138917651. The reversal of 138917646 is 646719831.

It is a happy number.

138917646 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 (138917641) and next prime (138917651).

It is a super-2 number, since 2×1389176462 = 38596224740362632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138917641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23605 + ... + 28896.

It is an arithmetic number, because the mean of its divisors is an integer number (7481535).

Almost surely, 2138917646 is an apocalyptic number.

138917646 is an abundant number, since it is smaller than the sum of its proper divisors (220196034).

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

138917646 is a wasteful number, since it uses less digits than its factorization.

138917646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52526 (or 52513 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 138917646 is about 11786.3330175250. Note that the first 3 decimals coincide. The cubic root of 138917646 is about 517.9078238713.

The spelling of 138917646 in words is "one hundred thirty-eight million, nine hundred seventeen thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 52501 105002 157503 315006 367507 472509 735014 945018 1102521 1417527 2205042 2572549 2835054 3307563 5145098 6615126 7717647 9922689 15435294 19845378 23152941 46305882 69458823 138917646