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5378320 = 245233779
BaseRepresentation
bin10100100001000100010000
3101010020200001
4110201010100
52334101240
6311135344
763500143
oct24410420
911106601
105378320
1130438a2
121974554
13116404c
14a0005a
1571389a
hex521110

5378320 has 80 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 1976832.

The previous prime is 5378299. The next prime is 5378377. The reversal of 5378320 is 238735.

5378320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68041 + ... + 68119.

It is an arithmetic number, because the mean of its divisors is an integer number (169632).

Almost surely, 25378320 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 5378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

5378320 is an abundant number, since it is smaller than the sum of its proper divisors (8192240).

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

5378320 is a wasteful number, since it uses less digits than its factorization.

5378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 5378320 is about 2319.1205229569. The cubic root of 5378320 is about 175.2059615855.

The spelling of 5378320 in words is "five million, three hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 37 40 46 74 79 80 92 115 148 158 184 185 230 296 316 368 370 395 460 592 632 740 790 851 920 1264 1480 1580 1702 1817 1840 2923 2960 3160 3404 3634 4255 5846 6320 6808 7268 8510 9085 11692 13616 14536 14615 17020 18170 23384 29072 29230 34040 36340 46768 58460 67229 68080 72680 116920 134458 145360 233840 268916 336145 537832 672290 1075664 1344580 2689160 5378320