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2260620 = 2232519661
BaseRepresentation
bin1000100111111010001100
311020211222200
420213322030
51034314440
6120241500
725133505
oct10477214
94224880
102260620
11130448a
12910290
13611c5b
1442bbac
152e9c30
hex227e8c

2260620 has 72 divisors (see below), whose sum is σ = 7229040. Its totient is φ = 570240.

The previous prime is 2260603. The next prime is 2260627. The reversal of 2260620 is 260622.

2260620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22606202 = 10220805568800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2260593 and 2260602.

It is not an unprimeable number, because it can be changed into a prime (2260627) 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, 3090 + ... + 3750.

22260620 is an apocalyptic number.

2260620 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 2260620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614520).

2260620 is an abundant number, since it is smaller than the sum of its proper divisors (4968420).

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

2260620 is a wasteful number, since it uses less digits than its factorization.

2260620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2260620 is about 1503.5358326292. The cubic root of 2260620 is about 131.2429111818.

The spelling of 2260620 in words is "two million, two hundred sixty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 661 684 855 1140 1322 1710 1983 2644 3305 3420 3966 5949 6610 7932 9915 11898 12559 13220 19830 23796 25118 29745 37677 39660 50236 59490 62795 75354 113031 118980 125590 150708 188385 226062 251180 376770 452124 565155 753540 1130310 2260620