Search a number
-
+
2694841920 = 263352371191
BaseRepresentation
bin1010000010100000…
…0000011001000000
320221210211011011000
42200220000121000
521004334420140
61123223452000
7123531530661
oct24050003100
96853734130
102694841920
111163193691
126325b7000
1333c3cba24
141b7c8d368
1510b8b6a30
hexa0a00640

2694841920 has 448 divisors, whose sum is σ = 10112532480. Its totient is φ = 674150400.

The previous prime is 2694841913. The next prime is 2694841987. The reversal of 2694841920 is 291484962.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14109025 + ... + 14109215.

Almost surely, 22694841920 is an apocalyptic number.

2694841920 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 2694841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056266240).

2694841920 is an abundant number, since it is smaller than the sum of its proper divisors (7417690560).

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

2694841920 is a wasteful number, since it uses less digits than its factorization.

2694841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2694841920 is about 51911.8668514243. The cubic root of 2694841920 is about 1391.5893556839.

The spelling of 2694841920 in words is "two billion, six hundred ninety-four million, eight hundred forty-one thousand, nine hundred twenty".