Search a number
-
+
139516960 = 25511174663
BaseRepresentation
bin10000101000011…
…01110000100000
3100201112012021211
420110031300200
5241204020320
621502155504
73312605662
oct1024156040
9321465254
10139516960
1171832180
123a882b94
1322b9b51b
141475a532
15c3ad55a
hex850dc20

139516960 has 96 divisors (see below), whose sum is σ = 380806272. Its totient is φ = 47738880.

The previous prime is 139516939. The next prime is 139516963. The reversal of 139516960 is 69615931.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (139516963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27589 + ... + 32251.

It is an arithmetic number, because the mean of its divisors is an integer number (3966732).

Almost surely, 2139516960 is an apocalyptic number.

139516960 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 139516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190403136).

139516960 is an abundant number, since it is smaller than the sum of its proper divisors (241289312).

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

139516960 is a wasteful number, since it uses less digits than its factorization.

139516960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4706 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 139516960 is about 11811.7297632481. The cubic root of 139516960 is about 518.6515357704.

The spelling of 139516960 in words is "one hundred thirty-nine million, five hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 4663 5984 7480 9326 14960 18652 23315 29920 37304 46630 51293 74608 79271 93260 102586 149216 158542 186520 205172 256465 317084 373040 396355 410344 512930 634168 746080 792710 820688 871981 1025860 1268336 1585420 1641376 1743962 2051720 2536672 3170840 3487924 4103440 4359905 6341680 6975848 8206880 8719810 12683360 13951696 17439620 27903392 34879240 69758480 139516960