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5380480 = 27571201
BaseRepresentation
bin10100100001100110000000
3101010100122001
4110201212000
52334133410
6311153344
763506350
oct24414600
911110561
105380480
113045486
121975854
131165021
14a00b60
1571433a
hex521980

5380480 has 64 divisors (see below), whose sum is σ = 14712480. Its totient is φ = 1843200.

The previous prime is 5380469. The next prime is 5380499. The reversal of 5380480 is 840835.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3880 + ... + 5080.

Almost surely, 25380480 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 5380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7356240).

5380480 is an abundant number, since it is smaller than the sum of its proper divisors (9332000).

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

5380480 is a wasteful number, since it uses less digits than its factorization.

5380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5380480 is about 2319.5861699881. The cubic root of 5380480 is about 175.2294134085.

The spelling of 5380480 in words is "five million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 1201 2240 2402 4480 4804 6005 8407 9608 12010 16814 19216 24020 33628 38432 42035 48040 67256 76864 84070 96080 134512 153728 168140 192160 269024 336280 384320 538048 672560 768640 1076096 1345120 2690240 5380480