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2795940 = 2232572317
BaseRepresentation
bin1010101010100110100100
312021001022100
422222212210
51203432230
6135532100
732523300
oct12524644
95231270
102795940
11163a6a4
12b2a030
1376b804
1452ad00
153a3660
hex2aa9a4

2795940 has 108 divisors (see below), whose sum is σ = 9896796. Its totient is φ = 637056.

The previous prime is 2795927. The next prime is 2795963. The reversal of 2795940 is 495972.

2795940 = T11 + T12 + ... + T255.

It can be written as a sum of positive squares in 2 ways, for example, as 509796 + 2286144 = 714^2 + 1512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2795895 and 2795904.

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, 8662 + ... + 8978.

It is an arithmetic number, because the mean of its divisors is an integer number (91637).

22795940 is an apocalyptic number.

2795940 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 2795940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948398).

2795940 is an abundant number, since it is smaller than the sum of its proper divisors (7100856).

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

2795940 is a wasteful number, since it uses less digits than its factorization.

2795940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2795940 is about 1672.1064559411. The cubic root of 2795940 is about 140.8778178005.

Subtracting from 2795940 its reverse (495972), we obtain a cube (2299968 = 1323).

The spelling of 2795940 in words is "two million, seven hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 317 420 441 490 588 630 634 735 882 951 980 1260 1268 1470 1585 1764 1902 2205 2219 2853 2940 3170 3804 4410 4438 4755 5706 6340 6657 8820 8876 9510 11095 11412 13314 14265 15533 19020 19971 22190 26628 28530 31066 33285 39942 44380 46599 57060 62132 66570 77665 79884 93198 99855 133140 139797 155330 186396 199710 232995 279594 310660 399420 465990 559188 698985 931980 1397970 2795940