Search a number
-
+
2113097280 = 263571753349
BaseRepresentation
bin111110111110011…
…0100111001000000
312110021011110112020
41331330310321000
513311423103110
6545403001440
7103236013320
oct17574647100
95407143466
102113097280
11994874298
124ab809280
13278a25428
141608d9280
15c57a2d70
hex7df34e40

2113097280 has 448 divisors, whose sum is σ = 8295436800. Its totient is φ = 444727296.

The previous prime is 2113097191. The next prime is 2113097303. The reversal of 2113097280 is 827903112.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×21130972802 = 8930360229486796800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6054546 + ... + 6054894.

It is an arithmetic number, because the mean of its divisors is an integer number (18516600).

Almost surely, 22113097280 is an apocalyptic number.

2113097280 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 2113097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147718400).

2113097280 is an abundant number, since it is smaller than the sum of its proper divisors (6182339520).

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

2113097280 is a wasteful number, since it uses less digits than its factorization.

2113097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2113097280 is about 45968.4378677370. The cubic root of 2113097280 is about 1283.2358881802.

The spelling of 2113097280 in words is "two billion, one hundred thirteen million, ninety-seven thousand, two hundred eighty".