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1992340 = 2257219107
BaseRepresentation
bin111100110011010010100
310202012222101
413212122110
51002223330
6110411444
722635400
oct7463224
93665871
101992340
111140969
12800b84
13549acc
1439c100
152954ca
hex1e6694

1992340 has 72 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 641088.

The previous prime is 1992337. The next prime is 1992343. The reversal of 1992340 is 432991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1992337) and next prime (1992343).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1992299 and 1992308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992343) 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, 18567 + ... + 18673.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

21992340 is an apocalyptic number.

1992340 is a gapful number since it is divisible by the number (10) 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 1992340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

1992340 is an abundant number, since it is smaller than the sum of its proper divisors (3178700).

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

1992340 is a wasteful number, since it uses less digits than its factorization.

1992340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 1992340 is about 1411.5027453037. The cubic root of 1992340 is about 125.8310492790.

It can be divided in two parts, 1992 and 340, that added together give a palindrome (2332).

The spelling of 1992340 in words is "one million, nine hundred ninety-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 107 133 140 190 196 214 245 266 380 428 490 532 535 665 749 931 980 1070 1330 1498 1862 2033 2140 2660 2996 3724 3745 4066 4655 5243 7490 8132 9310 10165 10486 14231 14980 18620 20330 20972 26215 28462 40660 52430 56924 71155 99617 104860 142310 199234 284620 398468 498085 996170 1992340