Search a number
-
+
2017980 = 2233537101
BaseRepresentation
bin111101100101010111100
310210112011000
413230222330
51004033410
6111130300
723103216
oct7545274
93715130
102017980
111159158
12813990
13558693
143a75b6
1529cdc0
hex1ecabc

2017980 has 96 divisors (see below), whose sum is σ = 6511680. Its totient is φ = 518400.

The previous prime is 2017963. The next prime is 2017987. The reversal of 2017980 is 897102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2017987) 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 31 ways as a sum of consecutive naturals, for example, 19930 + ... + 20030.

It is an arithmetic number, because the mean of its divisors is an integer number (67830).

22017980 is an apocalyptic number.

2017980 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 2017980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255840).

2017980 is an abundant number, since it is smaller than the sum of its proper divisors (4493700).

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

2017980 is a wasteful number, since it uses less digits than its factorization.

2017980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2017980 is about 1420.5562290877. The cubic root of 2017980 is about 126.3685355374.

The spelling of 2017980 in words is "two million, seventeen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 101 108 111 135 148 180 185 202 222 270 303 333 370 404 444 505 540 555 606 666 740 909 999 1010 1110 1212 1332 1515 1665 1818 1998 2020 2220 2727 3030 3330 3636 3737 3996 4545 4995 5454 6060 6660 7474 9090 9990 10908 11211 13635 14948 18180 18685 19980 22422 27270 33633 37370 44844 54540 56055 67266 74740 100899 112110 134532 168165 201798 224220 336330 403596 504495 672660 1008990 2017980