Search a number
-
+
139365072 = 243271112569
BaseRepresentation
bin10000100111010…
…00101011010000
3100201020110221100
420103220223100
5241134140242
621455024400
73311404110
oct1023505320
9321213840
10139365072
1171739050
123a80b100
1322b47352
141471b040
15c37d54c
hex84e8ad0

139365072 has 120 divisors (see below), whose sum is σ = 486308160. Its totient is φ = 36195840.

The previous prime is 139365059. The next prime is 139365131. The reversal of 139365072 is 270563931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4804 + ... + 17372.

It is an arithmetic number, because the mean of its divisors is an integer number (4052568).

Almost surely, 2139365072 is an apocalyptic number.

139365072 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 139365072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243154080).

139365072 is an abundant number, since it is smaller than the sum of its proper divisors (346943088).

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

139365072 is a wasteful number, since it uses less digits than its factorization.

139365072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12601 (or 12592 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 139365072 is about 11805.2984714492. The cubic root of 139365072 is about 518.4632538843.

The spelling of 139365072 in words is "one hundred thirty-nine million, three hundred sixty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 12569 25138 37707 50276 75414 87983 100552 113121 138259 150828 175966 201104 226242 263949 276518 301656 351932 414777 452484 527898 553036 603312 703864 791847 829554 904968 967813 1055796 1106072 1244331 1407728 1583694 1659108 1809936 1935626 2111592 2212144 2488662 2903439 3167388 3318216 3871252 4223184 4977324 5806878 6334776 6636432 7742504 8710317 9954648 11613756 12669552 15485008 17420634 19909296 23227512 34841268 46455024 69682536 139365072