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2195040 = 253517269
BaseRepresentation
bin1000010111111001100000
311010112000210
420113321200
51030220130
6115014120
724441351
oct10277140
94115023
102195040
11126a191
1289a340
135bb153
14411d28
152d55b0
hex217e60

2195040 has 96 divisors (see below), whose sum is σ = 7348320. Its totient is φ = 548864.

The previous prime is 2195029. The next prime is 2195047. The reversal of 2195040 is 405912.

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

It is a junction number, because it is equal to n+sod(n) for n = 2194998 and 2195016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195047) 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, 8026 + ... + 8294.

It is an arithmetic number, because the mean of its divisors is an integer number (76545).

22195040 is an apocalyptic number.

2195040 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 2195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674160).

2195040 is an abundant number, since it is smaller than the sum of its proper divisors (5153280).

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

2195040 is a wasteful number, since it uses less digits than its factorization.

2195040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2195040 is about 1481.5667382875. The cubic root of 2195040 is about 129.9613297210.

The spelling of 2195040 in words is "two million, one hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 269 272 340 408 480 510 538 544 680 807 816 1020 1076 1345 1360 1614 1632 2040 2152 2690 2720 3228 4035 4080 4304 4573 5380 6456 8070 8160 8608 9146 10760 12912 13719 16140 18292 21520 22865 25824 27438 32280 36584 43040 45730 54876 64560 68595 73168 91460 109752 129120 137190 146336 182920 219504 274380 365840 439008 548760 731680 1097520 2195040