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2190740760 = 2332513468107
BaseRepresentation
bin1000001010010100…
…0000110100011000
312122200021011100200
42002211000310120
513441312201020
61001215102200
7105200663205
oct20245006430
95580234320
102190740760
11a24685a5a
12511811960
1328bb3c010
1416ad4acac
15cc4dd590
hex82940d18

2190740760 has 96 divisors (see below), whose sum is σ = 7667609040. Its totient is φ = 539258112.

The previous prime is 2190740753. The next prime is 2190740779. The reversal of 2190740760 is 670470912.

It is a happy number.

2190740760 is a `hidden beast` number, since 2 + 190 + 7 + 407 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229374 + ... + 238733.

Almost surely, 22190740760 is an apocalyptic number.

2190740760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190740760 is an abundant number, since it is smaller than the sum of its proper divisors (5476868280).

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

2190740760 is a wasteful number, since it uses less digits than its factorization.

2190740760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468137 (or 468130 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2190740760 is about 46805.3496942390. The cubic root of 2190740760 is about 1298.7642616163.

The spelling of 2190740760 in words is "two billion, one hundred ninety million, seven hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 468107 936214 1404321 1872428 2340535 2808642 3744856 4212963 4681070 5617284 6085391 7021605 8425926 9362140 11234568 12170782 14043210 16851852 18256173 18724280 21064815 24341564 28086420 30426955 33703704 36512346 42129630 48683128 54768519 56172840 60853910 73024692 84259260 91280865 109537038 121707820 146049384 168518520 182561730 219074076 243415640 273842595 365123460 438148152 547685190 730246920 1095370380 2190740760