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138061080 = 233251721327
BaseRepresentation
bin10000011101010…
…10010100011000
3100121210020012100
420032222110120
5240320423310
621411043400
73264333303
oct1016522430
9317706170
10138061080
1170a28373
123a2a0560
13227ab961
141449bb3a
15c1c1ec0
hex83aa518

138061080 has 144 divisors (see below), whose sum is σ = 477004320. Its totient is φ = 34624512.

The previous prime is 138061067. The next prime is 138061081. The reversal of 138061080 is 80160831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138061081) 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 35 ways as a sum of consecutive naturals, for example, 103377 + ... + 104703.

It is an arithmetic number, because the mean of its divisors is an integer number (3312530).

Almost surely, 2138061080 is an apocalyptic number.

138061080 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 138061080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238502160).

138061080 is an abundant number, since it is smaller than the sum of its proper divisors (338943240).

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

138061080 is a wasteful number, since it uses less digits than its factorization.

138061080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 138061080 is about 11749.9395743127. The cubic root of 138061080 is about 516.8411555406.

The spelling of 138061080 in words is "one hundred thirty-eight million, sixty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 289 306 340 360 408 510 578 612 680 765 867 1020 1156 1224 1327 1445 1530 1734 2040 2312 2601 2654 2890 3060 3468 3981 4335 5202 5308 5780 6120 6635 6936 7962 8670 10404 10616 11560 11943 13005 13270 15924 17340 19905 20808 22559 23886 26010 26540 31848 34680 39810 45118 47772 52020 53080 59715 67677 79620 90236 95544 104040 112795 119430 135354 159240 180472 203031 225590 238860 270708 338385 383503 406062 451180 477720 541416 676770 767006 812124 902360 1015155 1150509 1353540 1534012 1624248 1917515 2030310 2301018 2707080 3068024 3451527 3835030 4060620 4602036 5752545 6903054 7670060 8121240 9204072 11505090 13806108 15340120 17257635 23010180 27612216 34515270 46020360 69030540 138061080