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138280212 = 22327312571
BaseRepresentation
bin10000011110111…
…11110100010100
3100122012100210100
420033133310110
5240344431322
621415454100
73266235210
oct1017376424
9318170710
10138280212
1171067a74
123a387330
1322857615
1414517940
15c216dac
hex83dfd14

138280212 has 108 divisors (see below), whose sum is σ = 413501088. Its totient is φ = 38167200.

The previous prime is 138280187. The next prime is 138280223. The reversal of 138280212 is 212082831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 241887 + ... + 242457.

Almost surely, 2138280212 is an apocalyptic number.

138280212 is a gapful number since it is divisible by the number (12) 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 138280212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206750544).

138280212 is an abundant number, since it is smaller than the sum of its proper divisors (275220876).

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

138280212 is a wasteful number, since it uses less digits than its factorization.

138280212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 138280212 is about 11759.2606910469. The cubic root of 138280212 is about 517.1144562378.

The spelling of 138280212 in words is "one hundred thirty-eight million, two hundred eighty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 571 651 868 961 1116 1142 1302 1713 1922 1953 2284 2604 2883 3426 3844 3906 3997 5139 5766 6727 6852 7812 7994 8649 10278 11532 11991 13454 15988 17298 17701 20181 20556 23982 26908 34596 35402 35973 40362 47964 53103 60543 70804 71946 80724 106206 121086 123907 143892 159309 212412 242172 247814 318618 371721 495628 548731 637236 743442 1097462 1115163 1486884 1646193 2194924 2230326 3292386 3841117 4460652 4938579 6584772 7682234 9877158 11523351 15364468 19754316 23046702 34570053 46093404 69140106 138280212