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138509268 = 22317821827
BaseRepresentation
bin10000100000101…
…11101111010100
3100122121222222220
420100113233110
5240424244033
621424422340
73301211052
oct1020275724
9318558886
10138509268
1171204077
123a4779b0
1322907961
14145771d2
15c25ebb3
hex8417bd4

138509268 has 48 divisors (see below), whose sum is σ = 343030464. Its totient is φ = 43348480.

The previous prime is 138509257. The next prime is 138509291. The reversal of 138509268 is 862905831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167071 + ... + 167897.

It is an arithmetic number, because the mean of its divisors is an integer number (7146468).

Almost surely, 2138509268 is an apocalyptic number.

It is an amenable number.

138509268 is an abundant number, since it is smaller than the sum of its proper divisors (204521196).

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

138509268 is a wasteful number, since it uses less digits than its factorization.

138509268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 138509268 is about 11768.9960489415. The cubic root of 138509268 is about 517.3998256474.

The spelling of 138509268 in words is "one hundred thirty-eight million, five hundred nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 821 827 1642 1654 2463 2481 3284 3308 4926 4962 9852 9924 13957 14059 27914 28118 41871 42177 55828 56236 83742 84354 167484 168708 678967 1357934 2036901 2715868 4073802 8147604 11542439 23084878 34627317 46169756 69254634 138509268