Search a number
-
+
139061216 = 2572131677
BaseRepresentation
bin10000100100111…
…10011111100000
3100200200001010102
420102132133200
5241044424331
621444321532
73306000200
oct1022363740
9320601112
10139061216
1171550828
123a6a32a8
1322a6bc58
141467c400
15c31d4cb
hex849e7e0

139061216 has 72 divisors (see below), whose sum is σ = 321380136. Its totient is φ = 59055360.

The previous prime is 139061201. The next prime is 139061249. The reversal of 139061216 is 612160931.

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 11 ways as a sum of consecutive naturals, for example, 205070 + ... + 205746.

It is an arithmetic number, because the mean of its divisors is an integer number (4463613).

Almost surely, 2139061216 is an apocalyptic number.

139061216 is a gapful number since it is divisible by the number (16) 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 139061216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160690068).

139061216 is an abundant number, since it is smaller than the sum of its proper divisors (182318920).

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

139061216 is a wasteful number, since it uses less digits than its factorization.

139061216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 139061216 is about 11792.4219734540. The cubic root of 139061216 is about 518.0861799638.

The spelling of 139061216 in words is "one hundred thirty-nine million, sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 131 196 224 262 392 524 677 784 917 1048 1354 1568 1834 2096 2708 3668 4192 4739 5416 6419 7336 9478 10832 12838 14672 18956 21664 25676 29344 33173 37912 51352 66346 75824 88687 102704 132692 151648 177374 205408 265384 354748 530768 620809 709496 1061536 1241618 1418992 2483236 2837984 4345663 4966472 8691326 9932944 17382652 19865888 34765304 69530608 139061216