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3091140 = 22325131321
BaseRepresentation
bin1011110010101011000100
312211001020200
423302223010
51242404030
6150130500
735163033
oct13625304
95731220
103091140
111821468
121050a30
13842ca0
145a671a
15410d60
hex2f2ac4

3091140 has 72 divisors (see below), whose sum is σ = 10105368. Its totient is φ = 760320.

The previous prime is 3091117. The next prime is 3091147. The reversal of 3091140 is 411903.

3091140 = T311 + T312 + ... + T364.

3091140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 427716 + 2663424 = 654^2 + 1632^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3091147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1680 + ... + 3000.

Almost surely, 23091140 is an apocalyptic number.

3091140 is a gapful number since it is divisible by the number (30) 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 3091140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052684).

3091140 is an abundant number, since it is smaller than the sum of its proper divisors (7014228).

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

3091140 is a wasteful number, since it uses less digits than its factorization.

3091140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3091140 is about 1758.1638148933. The cubic root of 3091140 is about 145.6709295957.

The spelling of 3091140 in words is "three million, ninety-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1321 2340 2642 3963 5284 6605 7926 11889 13210 15852 17173 19815 23778 26420 34346 39630 47556 51519 59445 68692 79260 85865 103038 118890 154557 171730 206076 237780 257595 309114 343460 515190 618228 772785 1030380 1545570 3091140