Search a number
-
+
2109980348 = 227236779619
BaseRepresentation
bin111110111000011…
…1011111010111100
312110001022002220022
41331300323322330
513310123332343
6545212111312
7103200352130
oct17560737274
95401262808
102109980348
11993035513
124aa765538
132781a37a8
141603273c0
15c5389568
hex7dc3bebc

2109980348 has 96 divisors (see below), whose sum is σ = 4533043200. Its totient is φ = 839906496.

The previous prime is 2109980333. The next prime is 2109980399. The reversal of 2109980348 is 8430899012.

It is a happy number.

It is a super-2 number, since 2×21099803482 = 8904034137892402208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2109980299 and 2109980308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3408383 + ... + 3409001.

It is an arithmetic number, because the mean of its divisors is an integer number (47219200).

Almost surely, 22109980348 is an apocalyptic number.

2109980348 is a gapful number since it is divisible by the number (28) 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 2109980348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266521600).

2109980348 is an abundant number, since it is smaller than the sum of its proper divisors (2423062852).

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

2109980348 is a wasteful number, since it uses less digits than its factorization.

2109980348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 2109980348 is about 45934.5223987362. The cubic root of 2109980348 is about 1282.6046304093.

The spelling of 2109980348 in words is "two billion, one hundred nine million, nine hundred eighty thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 46 67 79 92 134 158 161 268 316 322 469 553 619 644 938 1106 1238 1541 1817 1876 2212 2476 3082 3634 4333 5293 6164 7268 8666 10586 10787 12719 14237 17332 21172 21574 25438 28474 37051 41473 43148 48901 50876 56948 74102 82946 97802 99659 121739 148204 165892 195604 199318 243478 290311 342307 398636 486956 580622 684614 852173 953879 1124723 1161244 1369228 1704346 1907758 2249446 3276367 3408692 3815516 4498892 6552734 6677153 7873061 13105468 13354306 15746122 22934569 26708612 31492244 45869138 75356441 91738276 150712882 301425764 527495087 1054990174 2109980348