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2933140 = 225724173
BaseRepresentation
bin1011001100000110010100
312112000111211
423030012110
51222330030
6142511204
733634300
oct13140624
95460454
102933140
111723791
12b95504
137b90b2
14564d00
153ce12a
hex2cc194

2933140 has 72 divisors (see below), whose sum is σ = 7440552. Its totient is φ = 967680.

The previous prime is 2933113. The next prime is 2933143. The reversal of 2933140 is 413392.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 2917264 = 126^2 + 1708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2933143) 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, 40144 + ... + 40216.

It is an arithmetic number, because the mean of its divisors is an integer number (103341).

22933140 is an apocalyptic number.

2933140 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 2933140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720276).

2933140 is an abundant number, since it is smaller than the sum of its proper divisors (4507412).

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

2933140 is a wasteful number, since it uses less digits than its factorization.

2933140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 2933140 is about 1712.6412350519. The cubic root of 2933140 is about 143.1454662672.

The spelling of 2933140 in words is "two million, nine hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 73 82 98 140 146 164 196 205 245 287 292 365 410 490 511 574 730 820 980 1022 1148 1435 1460 2009 2044 2555 2870 2993 3577 4018 5110 5740 5986 7154 8036 10045 10220 11972 14308 14965 17885 20090 20951 29930 35770 40180 41902 59860 71540 83804 104755 146657 209510 293314 419020 586628 733285 1466570 2933140