Search a number
-
+
5966380 = 2257192243
BaseRepresentation
bin10110110000101000101100
3102020010100001
4112300220230
53011411010
6331514044
7101466460
oct26605054
912203301
105966380
1134056a2
121bb8924
13130b904
14b144a0
157ccc3a
hex5b0a2c

5966380 has 48 divisors (see below), whose sum is σ = 15079680. Its totient is φ = 1937088.

The previous prime is 5966377. The next prime is 5966381. The reversal of 5966380 is 836695.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5966381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1539 + ... + 3781.

It is an arithmetic number, because the mean of its divisors is an integer number (314160).

Almost surely, 25966380 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 5966380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539840).

5966380 is an abundant number, since it is smaller than the sum of its proper divisors (9113300).

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

5966380 is a wasteful number, since it uses less digits than its factorization.

5966380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 5966380 is about 2442.6174485580. The cubic root of 5966380 is about 181.3720256366.

The spelling of 5966380 in words is "five million, nine hundred sixty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2243 2660 4486 8972 11215 15701 22430 31402 42617 44860 62804 78505 85234 157010 170468 213085 298319 314020 426170 596638 852340 1193276 1491595 2983190 5966380