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1993980 = 2235167199
BaseRepresentation
bin111100110110011111100
310202022020010
413212303330
51002301410
6110423220
722643232
oct7466374
93668203
101993980
11114211a
12801b10
1354a791
1439c952
15295c20
hex1e6cfc

1993980 has 48 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 525888.

The previous prime is 1993973. The next prime is 1993991. The reversal of 1993980 is 893991.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9921 + ... + 10119.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

21993980 is an apocalyptic number.

1993980 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 1993980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822400).

1993980 is an abundant number, since it is smaller than the sum of its proper divisors (3650820).

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

1993980 is a wasteful number, since it uses less digits than its factorization.

1993980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 1993980 is about 1412.0835669322. The cubic root of 1993980 is about 125.8655658648.

The spelling of 1993980 in words is "one million, nine hundred ninety-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 199 334 398 501 597 668 796 835 995 1002 1194 1670 1990 2004 2388 2505 2985 3340 3980 5010 5970 10020 11940 33233 66466 99699 132932 166165 199398 332330 398796 498495 664660 996990 1993980