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1940832 = 253223293
BaseRepresentation
bin111011001110101100000
310122121022200
413121311200
5444101312
6105333200
722332255
oct7316540
93577280
101940832
1111061a3
12797200
1352c52a
1438742c
152850dc
hex1d9d60

1940832 has 72 divisors (see below), whose sum is σ = 5778864. Its totient is φ = 616704.

The previous prime is 1940821. The next prime is 1940833. The reversal of 1940832 is 2380491.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1940796 and 1940805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940833) 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 11 ways as a sum of consecutive naturals, for example, 6478 + ... + 6770.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

21940832 is an apocalyptic number.

1940832 is a gapful number since it is divisible by the number (12) 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 1940832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432).

1940832 is an abundant number, since it is smaller than the sum of its proper divisors (3838032).

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

1940832 is a wasteful number, since it uses less digits than its factorization.

1940832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1940832 is about 1393.1374662968. The cubic root of 1940832 is about 124.7371971980.

It can be divided in two parts, 1940 and 832, that added together give a palindrome (2772).

The spelling of 1940832 in words is "one million, nine hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 293 368 414 552 586 736 828 879 1104 1172 1656 1758 2208 2344 2637 3312 3516 4688 5274 6624 6739 7032 9376 10548 13478 14064 20217 21096 26956 28128 40434 42192 53912 60651 80868 84384 107824 121302 161736 215648 242604 323472 485208 646944 970416 1940832