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1213904016 = 24331331279
BaseRepresentation
bin100100001011010…
…1011010010010000
310010121011201021000
41020112223102100
54441224412031
6320242102000
742040004523
oct11026532220
93117151230
101213904016
11573243066
1229a64a900
13164652000
14b730cbba
15718853e6
hex485ab490

1213904016 has 160 divisors (see below), whose sum is σ = 3777536000. Its totient is φ = 373216896.

The previous prime is 1213904009. The next prime is 1213904017. The reversal of 1213904016 is 6104093121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1213904017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948465 + ... + 949743.

It is an arithmetic number, because the mean of its divisors is an integer number (23609600).

Almost surely, 21213904016 is an apocalyptic number.

1213904016 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 1213904016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888768000).

1213904016 is an abundant number, since it is smaller than the sum of its proper divisors (2563631984).

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

1213904016 is a wasteful number, since it uses less digits than its factorization.

1213904016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1213904016 is about 34841.1253549595. The cubic root of 1213904016 is about 1066.7470472412.

Adding to 1213904016 its reverse (6104093121), we get a palindrome (7317997137).

The spelling of 1213904016 in words is "one billion, two hundred thirteen million, nine hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 676 702 936 1014 1279 1352 1404 1521 1872 2028 2197 2558 2704 2808 3042 3837 4056 4394 4563 5116 5616 6084 6591 7674 8112 8788 9126 10232 11511 12168 13182 15348 16627 17576 18252 19773 20464 23022 24336 26364 30696 33254 34533 35152 36504 39546 46044 49881 52728 59319 61392 66508 69066 73008 79092 92088 99762 105456 118638 133016 138132 149643 158184 184176 199524 216151 237276 266032 276264 299286 316368 399048 432302 448929 474552 552528 598572 648453 798096 864604 897858 949104 1197144 1296906 1729208 1795716 1945359 2394288 2593812 2809963 3458416 3591432 3890718 5187624 5619926 5836077 7182864 7781436 8429889 10375248 11239852 11672154 15562872 16859778 22479704 23344308 25289667 31125744 33719556 44959408 46688616 50579334 67439112 75869001 93377232 101158668 134878224 151738002 202317336 303476004 404634672 606952008 1213904016