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2825340 = 223572312
BaseRepresentation
bin1010110001110001111100
312022112122020
422301301330
51210402330
6140320140
733005100
oct12616174
95275566
102825340
11165a7a1
12b43050
1377bccb
14537900
153ac210
hex2b1c7c

2825340 has 108 divisors (see below), whose sum is σ = 9508968. Its totient is φ = 624960.

The previous prime is 2825299. The next prime is 2825353. The reversal of 2825340 is 435282.

It is a super-2 number, since 2×28253402 = 15965092231200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2825340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91125 + ... + 91155.

It is an arithmetic number, because the mean of its divisors is an integer number (88046).

22825340 is an apocalyptic number.

2825340 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 2825340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754484).

2825340 is an abundant number, since it is smaller than the sum of its proper divisors (6683628).

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

2825340 is a wasteful number, since it uses less digits than its factorization.

2825340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2825340 is about 1680.8747722540. The cubic root of 2825340 is about 141.3698854275.

The spelling of 2825340 in words is "two million, eight hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 49 60 62 70 84 93 98 105 124 140 147 155 186 196 210 217 245 294 310 372 420 434 465 490 588 620 651 735 868 930 961 980 1085 1302 1470 1519 1860 1922 2170 2604 2883 2940 3038 3255 3844 4340 4557 4805 5766 6076 6510 6727 7595 9114 9610 11532 13020 13454 14415 15190 18228 19220 20181 22785 26908 28830 30380 33635 40362 45570 47089 57660 67270 80724 91140 94178 100905 134540 141267 188356 201810 235445 282534 403620 470890 565068 706335 941780 1412670 2825340