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2055040 = 27513219
BaseRepresentation
bin111110101101110000000
310212101222121
413311232000
51011230130
6112014024
723316241
oct7655600
93771877
102055040
111183a89
12831314
1356c500
143b6cc8
152a8d7a
hex1f5b80

2055040 has 96 divisors (see below), whose sum is σ = 5599800. Its totient is φ = 718848.

The previous prime is 2055037. The next prime is 2055041. The reversal of 2055040 is 405502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108151 + ... + 108169.

22055040 is an apocalyptic number.

2055040 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 2055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799900).

2055040 is an abundant number, since it is smaller than the sum of its proper divisors (3544760).

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

2055040 is a wasteful number, since it uses less digits than its factorization.

2055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2055040 is about 1433.5410702174. The cubic root of 2055040 is about 127.1374295060.

The spelling of 2055040 in words is "two million, fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 169 190 208 247 260 304 320 338 380 416 494 520 608 640 676 760 832 845 988 1040 1216 1235 1352 1520 1664 1690 1976 2080 2432 2470 2704 3040 3211 3380 3952 4160 4940 5408 6080 6422 6760 7904 8320 9880 10816 12160 12844 13520 15808 16055 19760 21632 25688 27040 31616 32110 39520 51376 54080 64220 79040 102752 108160 128440 158080 205504 256880 411008 513760 1027520 2055040