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2061360 = 243257409
BaseRepresentation
bin111110111010000110000
310212201122200
413313100300
51011430420
6112103200
723343540
oct7672060
93781580
102061360
111188804
12834b00
13572352
143b9320
152aab90
hex1f7430

2061360 has 120 divisors (see below), whose sum is σ = 7931040. Its totient is φ = 470016.

The previous prime is 2061341. The next prime is 2061361. The reversal of 2061360 is 631602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2061361) 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 23 ways as a sum of consecutive naturals, for example, 4836 + ... + 5244.

It is an arithmetic number, because the mean of its divisors is an integer number (66092).

22061360 is an apocalyptic number.

2061360 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 2061360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965520).

2061360 is an abundant number, since it is smaller than the sum of its proper divisors (5869680).

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

2061360 is a wasteful number, since it uses less digits than its factorization.

2061360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2061360 is about 1435.7437097198. The cubic root of 2061360 is about 127.2676275013.

Adding to 2061360 its reverse (631602), we get a palindrome (2692962).

The spelling of 2061360 in words is "two million, sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 409 420 504 560 630 720 818 840 1008 1227 1260 1636 1680 2045 2454 2520 2863 3272 3681 4090 4908 5040 5726 6135 6544 7362 8180 8589 9816 11452 12270 14315 14724 16360 17178 18405 19632 22904 24540 25767 28630 29448 32720 34356 36810 42945 45808 49080 51534 57260 58896 68712 73620 85890 98160 103068 114520 128835 137424 147240 171780 206136 229040 257670 294480 343560 412272 515340 687120 1030680 2061360