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1980169884 = 2232711809883
BaseRepresentation
bin111011000000110…
…1111111010011100
312010000001001102100
41312001233322130
513023410414014
6524253525100
7100033111020
oct16601577234
95100031370
101980169884
11926832a40
124731a3790
13257323374
1414adb6380
15b8c97009
hex7606fe9c

1980169884 has 144 divisors (see below), whose sum is σ = 6255325440. Its totient is φ = 513112320.

The previous prime is 1980169853. The next prime is 1980169901. The reversal of 1980169884 is 4889610891.

1980169884 is a modest number, since divided by 169884 gives 1980 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1980169884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2242107 + ... + 2242989.

It is an arithmetic number, because the mean of its divisors is an integer number (43439760).

Almost surely, 21980169884 is an apocalyptic number.

1980169884 is a gapful number since it is divisible by the number (14) 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 1980169884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127662720).

1980169884 is an abundant number, since it is smaller than the sum of its proper divisors (4275155556).

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

1980169884 is a wasteful number, since it uses less digits than its factorization.

1980169884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 1980169884 is about 44499.0998111198. The cubic root of 1980169884 is about 1255.7431478438.

The spelling of 1980169884 in words is "one billion, nine hundred eighty million, one hundred sixty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 809 883 924 1386 1618 1766 2427 2649 2772 3236 3532 4854 5298 5663 6181 7281 7947 8899 9708 9713 10596 11326 12362 14562 15894 16989 17798 18543 19426 22652 24724 26697 29124 29139 31788 33978 35596 37086 38852 50967 53394 55629 58278 62293 67956 67991 74172 80091 87417 101934 106788 111258 116556 124586 135982 160182 174834 186879 203868 203973 222516 249172 271964 320364 349668 373758 407946 560637 611919 714347 747516 815892 1121274 1223838 1428694 2143041 2242548 2447676 2857388 4286082 5000429 6429123 7857817 8572164 10000858 12858246 15001287 15715634 20001716 23573451 25716492 30002574 31431268 45003861 47146902 55004719 60005148 70720353 90007722 94293804 110009438 141440706 165014157 180015444 220018876 282881412 330028314 495042471 660056628 990084942 1980169884