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2088680 = 2351147101
BaseRepresentation
bin111111101111011101000
310221010010112
413331323220
51013314210
6112433452
723516306
oct7757350
93833115
102088680
1111a7290
12848888
13581909
143c5276
152b3d05
hex1fdee8

2088680 has 64 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 736000.

The previous prime is 2088679. The next prime is 2088683. The reversal of 2088680 is 868802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088683) 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, 20630 + ... + 20730.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

22088680 is an apocalyptic number.

2088680 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 2088680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840).

2088680 is an abundant number, since it is smaller than the sum of its proper divisors (3199000).

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

2088680 is a wasteful number, since it uses less digits than its factorization.

2088680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 2088680 is about 1445.2266258272. The cubic root of 2088680 is about 127.8274040941.

It can be divided in two parts, 208 and 8680, that added together give a palindrome (8888).

The spelling of 2088680 in words is "two million, eighty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 101 110 188 202 220 235 376 404 440 470 505 517 808 940 1010 1034 1111 1880 2020 2068 2222 2585 4040 4136 4444 4747 5170 5555 8888 9494 10340 11110 18988 20680 22220 23735 37976 44440 47470 52217 94940 104434 189880 208868 261085 417736 522170 1044340 2088680