Search a number
-
+
8201360 = 245313307
BaseRepresentation
bin11111010010010010010000
3120102200011002
4133102102100
54044420420
6451441132
7126465446
oct37222220
916380132
108201360
1146a1892
1228b61a8
131911c9b
141136b96
15ac0075
hex7d2490

8201360 has 40 divisors (see below), whose sum is σ = 19689216. Its totient is φ = 3173760.

The previous prime is 8201357. The next prime is 8201371. The reversal of 8201360 is 631028.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 827 + ... + 4133.

Almost surely, 28201360 is an apocalyptic number.

8201360 is a gapful number since it is divisible by the number (80) 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 8201360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9844608).

8201360 is an abundant number, since it is smaller than the sum of its proper divisors (11487856).

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

8201360 is a wasteful number, since it uses less digits than its factorization.

8201360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 8201360 is about 2863.8016691105. The cubic root of 8201360 is about 201.6641151997.

Adding to 8201360 its reverse (631028), we get a palindrome (8832388).

The spelling of 8201360 in words is "eight million, two hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 3307 6614 13228 16535 26456 33070 52912 66140 102517 132280 205034 264560 410068 512585 820136 1025170 1640272 2050340 4100680 8201360