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2077980 = 223559587
BaseRepresentation
bin111111011010100011100
310220120110020
413323110130
51012443410
6112312140
723443152
oct7732434
93816406
102077980
11119a243
12842650
13579a98
143c13d2
152b0a70
hex1fb51c

2077980 has 48 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 543808.

The previous prime is 2077969. The next prime is 2077987. The reversal of 2077980 is 897702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3247 + ... + 3833.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

22077980 is an apocalyptic number.

2077980 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 2077980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

2077980 is an abundant number, since it is smaller than the sum of its proper divisors (3849060).

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

2077980 is a wasteful number, since it uses less digits than its factorization.

2077980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 2077980 is about 1441.5200310783. The cubic root of 2077980 is about 127.6087499691.

The spelling of 2077980 in words is "two million, seventy-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 587 590 708 885 1174 1180 1761 1770 2348 2935 3522 3540 5870 7044 8805 11740 17610 34633 35220 69266 103899 138532 173165 207798 346330 415596 519495 692660 1038990 2077980