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138650980 = 2251321719127
BaseRepresentation
bin10000100001110…
…10010101100100
3100122220012101111
420100322111210
5240443312410
621431434404
73302341156
oct1020722544
9318805344
10138650980
11712a0596
123a525a04
1322957300
14145b2ad6
15c28bb8a
hex843a564

138650980 has 144 divisors (see below), whose sum is σ = 354170880. Its totient is φ = 45287424.

The previous prime is 138650977. The next prime is 138650983. The reversal of 138650980 is 89056831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138650977) and next prime (138650983).

It is not an unprimeable number, because it can be changed into a prime (138650983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1091677 + ... + 1091803.

It is an arithmetic number, because the mean of its divisors is an integer number (2459520).

Almost surely, 2138650980 is an apocalyptic number.

138650980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138650980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177085440).

138650980 is an abundant number, since it is smaller than the sum of its proper divisors (215519900).

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

138650980 is a wasteful number, since it uses less digits than its factorization.

138650980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 138650980 is about 11775.0150743003. The cubic root of 138650980 is about 517.5762200351.

The spelling of 138650980 in words is "one hundred thirty-eight million, six hundred fifty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 17 19 20 26 34 38 52 65 68 76 85 95 127 130 169 170 190 221 247 254 260 323 338 340 380 442 494 508 635 646 676 845 884 988 1105 1235 1270 1292 1615 1651 1690 2159 2210 2413 2470 2540 2873 3211 3230 3302 3380 4199 4318 4420 4826 4940 5746 6422 6460 6604 8255 8398 8636 9652 10795 11492 12065 12844 14365 16055 16510 16796 20995 21463 21590 24130 28067 28730 31369 32110 33020 41021 41990 42926 43180 48260 54587 56134 57460 62738 64220 82042 83980 85852 107315 109174 112268 125476 140335 156845 164084 205105 214630 218348 272935 280670 313690 364871 407797 410210 429260 533273 545870 561340 627380 729742 815594 820420 1066546 1091740 1459484 1631188 1824355 2038985 2133092 2666365 3648710 4077970 5332730 6932549 7297420 8155940 10665460 13865098 27730196 34662745 69325490 138650980