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1161991980 = 22355373641
BaseRepresentation
bin100010101000010…
…1001011100101100
32222222111022100000
41011100221130230
54334432220410
6311145304300
740536524502
oct10520513454
92888438300
101161991980
11546a06856
12285195090
13156977526
14b0478672
156c02ddc0
hex4542972c

1161991980 has 144 divisors (see below), whose sum is σ = 3670771104. Its totient is φ = 308551680.

The previous prime is 1161991979. The next prime is 1161991991. The reversal of 1161991980 is 891991611.

1161991980 is a `hidden beast` number, since 11 + 619 + 9 + 19 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1812460 + ... + 1813100.

It is an arithmetic number, because the mean of its divisors is an integer number (25491466).

Almost surely, 21161991980 is an apocalyptic number.

1161991980 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 1161991980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835385552).

1161991980 is an abundant number, since it is smaller than the sum of its proper divisors (2508779124).

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

1161991980 is a wasteful number, since it uses less digits than its factorization.

1161991980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 45.

The square root of 1161991980 is about 34088.0034616285. The cubic root of 1161991980 is about 1051.3186697517.

The spelling of 1161991980 in words is "one billion, one hundred sixty-one million, nine hundred ninety-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 373 405 486 540 641 746 810 972 1119 1215 1282 1492 1620 1865 1923 2238 2430 2564 3205 3357 3730 3846 4476 4860 5595 5769 6410 6714 7460 7692 9615 10071 11190 11538 12820 13428 16785 17307 19230 20142 22380 23076 28845 30213 33570 34614 38460 40284 50355 51921 57690 60426 67140 69228 86535 90639 100710 103842 115380 120852 151065 155763 173070 181278 201420 207684 239093 259605 302130 311526 346140 362556 453195 478186 519210 604260 623052 717279 778815 906390 956372 1038420 1195465 1434558 1557630 1812780 2151837 2390930 2869116 3115260 3586395 4303674 4781860 6455511 7172790 8607348 10759185 12911022 14345580 19366533 21518370 25822044 32277555 38733066 43036740 58099599 64555110 77466132 96832665 116199198 129110220 193665330 232398396 290497995 387330660 580995990 1161991980