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2161963080 = 233258967477
BaseRepresentation
bin1000000011011100…
…1111000001001000
312120200010002210200
42000313033001020
513411430304310
6554310212200
7104401245234
oct20067170110
95520102720
102161963080
11a0a40a952
12504054060
13285ba44c4
141671b95c4
15c9c069c0
hex80dcf048

2161963080 has 96 divisors (see below), whose sum is σ = 7105433400. Its totient is φ = 570037248.

The previous prime is 2161963057. The next prime is 2161963081. The reversal of 2161963080 is 803691612.

2161963080 is a `hidden beast` number, since 2 + 1 + 6 + 19 + 630 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1617487524 + 544475556 = 40218^2 + 23334^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2161963081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699 + ... + 65778.

Almost surely, 22161963080 is an apocalyptic number.

2161963080 is a gapful number since it is divisible by the number (20) 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 2161963080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552716700).

2161963080 is an abundant number, since it is smaller than the sum of its proper divisors (4943470320).

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

2161963080 is a wasteful number, since it uses less digits than its factorization.

2161963080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67583 (or 67576 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2161963080 is about 46496.9147363564. The cubic root of 2161963080 is about 1293.0522998568.

The spelling of 2161963080 in words is "two billion, one hundred sixty-one million, nine hundred sixty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2670 3204 3560 4005 5340 6408 8010 10680 16020 32040 67477 134954 202431 269908 337385 404862 539816 607293 674770 809724 1012155 1214586 1349540 1619448 2024310 2429172 2699080 3036465 4048620 4858344 6005453 6072930 8097240 12010906 12145860 18016359 24021812 24291720 30027265 36032718 48043624 54049077 60054530 72065436 90081795 108098154 120109060 144130872 180163590 216196308 240218120 270245385 360327180 432392616 540490770 720654360 1080981540 2161963080