Search a number
-
+
5653980 = 22325101311
BaseRepresentation
bin10101100100010111011100
3101122020210200
4111210113130
52421411410
6321103500
766025623
oct25442734
911566720
105653980
113211a12
121a87b90
13122c667
14a726ba
1576a3c0
hex5645dc

5653980 has 72 divisors (see below), whose sum is σ = 17375904. Its totient is φ = 1488000.

The previous prime is 5653957. The next prime is 5653993. The reversal of 5653980 is 893565.

5653980 is a `hidden beast` number, since 565 + 3 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18025 + ... + 18335.

It is an arithmetic number, because the mean of its divisors is an integer number (241332).

Almost surely, 25653980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5653980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687952).

5653980 is an abundant number, since it is smaller than the sum of its proper divisors (11721924).

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

5653980 is a wasteful number, since it uses less digits than its factorization.

5653980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5653980 is about 2377.8099167091. The cubic root of 5653980 is about 178.1495607869.

The spelling of 5653980 in words is "five million, six hundred fifty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 311 404 505 606 622 909 933 1010 1212 1244 1515 1555 1818 1866 2020 2799 3030 3110 3636 3732 4545 4665 5598 6060 6220 9090 9330 11196 13995 18180 18660 27990 31411 55980 62822 94233 125644 157055 188466 282699 314110 376932 471165 565398 628220 942330 1130796 1413495 1884660 2826990 5653980