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2795040 = 25335647
BaseRepresentation
bin1010101010011000100000
312021000002000
422222120200
51203420130
6135524000
732520543
oct12523040
95230060
102795040
111639a56
12b29600
1376b291
1452a85a
153a3260
hex2aa620

2795040 has 96 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 744192.

The previous prime is 2795027. The next prime is 2795047. The reversal of 2795040 is 405972.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2794995 and 2795013.

It is not an unprimeable number, because it can be changed into a prime (2795047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3997 + ... + 4643.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

22795040 is an apocalyptic number.

2795040 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 2795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

2795040 is an abundant number, since it is smaller than the sum of its proper divisors (7002720).

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

2795040 is a wasteful number, since it uses less digits than its factorization.

2795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2795040 is about 1671.8373126593. The cubic root of 2795040 is about 140.8627002082.

The spelling of 2795040 in words is "two million, seven hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 647 720 864 1080 1294 1440 1941 2160 2588 3235 3882 4320 5176 5823 6470 7764 9705 10352 11646 12940 15528 17469 19410 20704 23292 25880 29115 31056 34938 38820 46584 51760 58230 62112 69876 77640 87345 93168 103520 116460 139752 155280 174690 186336 232920 279504 310560 349380 465840 559008 698760 931680 1397520 2795040