Search a number
-
+
139305320 = 235711311459
BaseRepresentation
bin10000100110110…
…10000101101000
3100201010102222022
420103122011220
5241130232240
621453444012
73311034650
oct1023320550
9321112868
10139305320
11716a8170
123a7a0608
1322b260ab
1414703360
15c36a9b5
hex84da168

139305320 has 128 divisors (see below), whose sum is σ = 403660800. Its totient is φ = 41990400.

The previous prime is 139305281. The next prime is 139305323. The reversal of 139305320 is 23503931.

It is a self number, because there is not a number n which added to its sum of digits gives 139305320.

It is not an unprimeable number, because it can be changed into a prime (139305323) 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 31 ways as a sum of consecutive naturals, for example, 94751 + ... + 96209.

It is an arithmetic number, because the mean of its divisors is an integer number (3153600).

Almost surely, 2139305320 is an apocalyptic number.

139305320 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 139305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201830400).

139305320 is an abundant number, since it is smaller than the sum of its proper divisors (264355480).

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

139305320 is a wasteful number, since it uses less digits than its factorization.

139305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 139305320 is about 11802.7674720804. The cubic root of 139305320 is about 518.3891472128.

The spelling of 139305320 in words is "one hundred thirty-nine million, three hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 31 35 40 44 55 56 62 70 77 88 110 124 140 154 155 217 220 248 280 308 310 341 385 434 440 616 620 682 770 868 1085 1240 1364 1459 1540 1705 1736 2170 2387 2728 2918 3080 3410 4340 4774 5836 6820 7295 8680 9548 10213 11672 11935 13640 14590 16049 19096 20426 23870 29180 32098 40852 45229 47740 51065 58360 64196 80245 81704 90458 95480 102130 112343 128392 160490 180916 204260 224686 226145 316603 320980 361832 408520 449372 452290 497519 561715 633206 641960 898744 904580 995038 1123430 1266412 1583015 1809160 1990076 2246860 2487595 2532824 3166030 3482633 3980152 4493720 4975190 6332060 6965266 9950380 12664120 13930532 17413165 19900760 27861064 34826330 69652660 139305320