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2086960 = 245191373
BaseRepresentation
bin111111101100000110000
310221000202211
413331200300
51013240320
6112421504
723511301
oct7754060
93830684
102086960
1111a5a67
12847894
13580bb5
143c47a8
152b355a
hex1fd830

2086960 has 40 divisors (see below), whose sum is σ = 5111280. Its totient is φ = 790272.

The previous prime is 2086957. The next prime is 2086969. The reversal of 2086960 is 696802.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086969) 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 7 ways as a sum of consecutive naturals, for example, 834 + ... + 2206.

It is an arithmetic number, because the mean of its divisors is an integer number (127782).

22086960 is an apocalyptic number.

2086960 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 2086960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555640).

2086960 is an abundant number, since it is smaller than the sum of its proper divisors (3024320).

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

2086960 is a wasteful number, since it uses less digits than its factorization.

2086960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2086960 is about 1444.6314408873. The cubic root of 2086960 is about 127.7923064065.

The spelling of 2086960 in words is "two million, eighty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1373 1520 2746 5492 6865 10984 13730 21968 26087 27460 52174 54920 104348 109840 130435 208696 260870 417392 521740 1043480 2086960