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6295140 = 2232541853
BaseRepresentation
bin11000000000111001100100
3102211211022100
4120000321210
53102421030
6342532100
7104336115
oct30007144
912754270
106295140
11360a6a5
122137030
1313c5447
14b9c20c
15845360
hex600e64

6295140 has 72 divisors (see below), whose sum is σ = 19583928. Its totient is φ = 1635840.

The previous prime is 6295129. The next prime is 6295141. The reversal of 6295140 is 415926.

6295140 = T191 + T192 + ... + T354.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 5963364 = 576^2 + 2442^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6295141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6954 + ... + 7806.

It is an arithmetic number, because the mean of its divisors is an integer number (271999).

Almost surely, 26295140 is an apocalyptic number.

6295140 is a gapful number since it is divisible by the number (60) 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 6295140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9791964).

6295140 is an abundant number, since it is smaller than the sum of its proper divisors (13288788).

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

6295140 is a wasteful number, since it uses less digits than its factorization.

6295140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6295140 is about 2509.0117576448. The cubic root of 6295140 is about 184.6439707337.

The spelling of 6295140 in words is "six million, two hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 853 1230 1476 1706 1845 2460 2559 3412 3690 4265 5118 7380 7677 8530 10236 12795 15354 17060 25590 30708 34973 38385 51180 69946 76770 104919 139892 153540 174865 209838 314757 349730 419676 524595 629514 699460 1049190 1259028 1573785 2098380 3147570 6295140