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2191020 = 223513532
BaseRepresentation
bin1000010110111010101100
311010022111220
420112322230
51030103040
6114543340
724423546
oct10267254
94108456
102191020
111267167
12897b50
135b9380
14410696
152d42d0
hex216eac

2191020 has 72 divisors (see below), whose sum is σ = 6733776. Its totient is φ = 529152.

The previous prime is 2191019. The next prime is 2191027. The reversal of 2191020 is 201912.

It is a happy number.

2191020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2191027) 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, 41314 + ... + 41366.

22191020 is an apocalyptic number.

2191020 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 2191020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366888).

2191020 is an abundant number, since it is smaller than the sum of its proper divisors (4542756).

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

2191020 is a wasteful number, since it uses less digits than its factorization.

2191020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2191020 is about 1480.2094446395. The cubic root of 2191020 is about 129.8819441053.

Adding to 2191020 its reverse (201912), we get a palindrome (2392932).

The spelling of 2191020 in words is "two million, one hundred ninety-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 53 60 65 78 106 130 156 159 195 212 260 265 318 390 530 636 689 780 795 1060 1378 1590 2067 2756 2809 3180 3445 4134 5618 6890 8268 8427 10335 11236 13780 14045 16854 20670 28090 33708 36517 41340 42135 56180 73034 84270 109551 146068 168540 182585 219102 365170 438204 547755 730340 1095510 2191020