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2055680 = 2951173
BaseRepresentation
bin111110101111000000000
310212102212022
413311320000
51011240210
6112021012
723321144
oct7657000
93772768
102055680
111184510
12831768
1356c8a3
143b7224
152a9155
hex1f5e00

2055680 has 80 divisors (see below), whose sum is σ = 5450544. Its totient is φ = 737280.

The previous prime is 2055679. The next prime is 2055689. The reversal of 2055680 is 865502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28124 + ... + 28196.

22055680 is an apocalyptic number.

2055680 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 2055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725272).

2055680 is an abundant number, since it is smaller than the sum of its proper divisors (3394864).

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

2055680 is an equidigital number, since it uses as much as digits as its factorization.

2055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2055680 is about 1433.7642763021. The cubic root of 2055680 is about 127.1506262499.

It can be divided in two parts, 205 and 5680, that added together give a palindrome (5885).

The spelling of 2055680 in words is "two million, fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 73 80 88 110 128 146 160 176 220 256 292 320 352 365 440 512 584 640 704 730 803 880 1168 1280 1408 1460 1606 1760 2336 2560 2816 2920 3212 3520 4015 4672 5632 5840 6424 7040 8030 9344 11680 12848 14080 16060 18688 23360 25696 28160 32120 37376 46720 51392 64240 93440 102784 128480 186880 205568 256960 411136 513920 1027840 2055680