Search a number
-
+
5348720 = 2451337139
BaseRepresentation
bin10100011001110101110000
3101001202001202
4110121311300
52332124340
6310350332
763314636
oct24316560
911052052
105348720
113023633
12195b3a8
131153730
149d3356
15709c15
hex519d70

5348720 has 80 divisors (see below), whose sum is σ = 13853280. Its totient is φ = 1907712.

The previous prime is 5348713. The next prime is 5348743. The reversal of 5348720 is 278435.

5348720 = T205 + T206 + ... + T343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38411 + ... + 38549.

It is an arithmetic number, because the mean of its divisors is an integer number (173166).

Almost surely, 25348720 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 5348720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926640).

5348720 is an abundant number, since it is smaller than the sum of its proper divisors (8504560).

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

5348720 is a wasteful number, since it uses less digits than its factorization.

5348720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 5348720 is about 2312.7299885633. The cubic root of 5348720 is about 174.8839502705.

The spelling of 5348720 in words is "five million, three hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 139 148 185 208 260 278 296 370 481 520 556 592 695 740 962 1040 1112 1390 1480 1807 1924 2224 2405 2780 2960 3614 3848 4810 5143 5560 7228 7696 9035 9620 10286 11120 14456 18070 19240 20572 25715 28912 36140 38480 41144 51430 66859 72280 82288 102860 133718 144560 205720 267436 334295 411440 534872 668590 1069744 1337180 2674360 5348720