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2170990320 = 243567313441
BaseRepresentation
bin1000000101100110…
…1010111011110000
312121022002201211220
42001121222323300
513421233142240
6555231505040
7104541053562
oct20131527360
95538081756
102170990320
11a14516184
12507088180
13287a15375
14168489332
15ca8db5d0
hex8166aef0

2170990320 has 80 divisors (see below), whose sum is σ = 6740571552. Its totient is φ = 578027520.

The previous prime is 2170990313. The next prime is 2170990333. The reversal of 2170990320 is 230990712.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154800 + ... + 168240.

Almost surely, 22170990320 is an apocalyptic number.

2170990320 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 2170990320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370285776).

2170990320 is an abundant number, since it is smaller than the sum of its proper divisors (4569581232).

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

2170990320 is a wasteful number, since it uses less digits than its factorization.

2170990320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14130 (or 14124 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 2170990320 is about 46593.8871527156. The cubic root of 2170990320 is about 1294.8495067188.

The spelling of 2170990320 in words is "two billion, one hundred seventy million, nine hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 673 1346 2019 2692 3365 4038 5384 6730 8076 10095 10768 13441 13460 16152 20190 26882 26920 32304 40323 40380 53764 53840 67205 80646 80760 107528 134410 161292 161520 201615 215056 268820 322584 403230 537640 645168 806460 1075280 1612920 3225840 9045793 18091586 27137379 36183172 45228965 54274758 72366344 90457930 108549516 135686895 144732688 180915860 217099032 271373790 361831720 434198064 542747580 723663440 1085495160 2170990320