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1993404 = 2237191249
BaseRepresentation
bin111100110101010111100
310202021102210
413212222330
51002242104
6110420420
722641450
oct7465274
93667383
101993404
111141746
12801710
1354a43a
1439c660
15295989
hex1e6abc

1993404 has 48 divisors (see below), whose sum is σ = 5600000. Its totient is φ = 539136.

The previous prime is 1993367. The next prime is 1993417. The reversal of 1993404 is 4043991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972 + ... + 2220.

21993404 is an apocalyptic number.

1993404 is a gapful number since it is divisible by the number (14) 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 1993404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800000).

1993404 is an abundant number, since it is smaller than the sum of its proper divisors (3606596).

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

1993404 is a wasteful number, since it uses less digits than its factorization.

1993404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1993404 is about 1411.8795982661. The cubic root of 1993404 is about 125.8534451234.

The spelling of 1993404 in words is "one million, nine hundred ninety-three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1249 1596 2498 3747 4996 7494 8743 14988 17486 23731 26229 34972 47462 52458 71193 94924 104916 142386 166117 284772 332234 498351 664468 996702 1993404