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5381880 = 2335743149
BaseRepresentation
bin10100100001111011111000
3101010102112220
4110201323320
52334210010
6311204040
763513420
oct24417370
911112486
105381880
113046539
121976620
13116585a
14a01480
15714970
hex521ef8

5381880 has 128 divisors (see below), whose sum is σ = 19008000. Its totient is φ = 1193472.

The previous prime is 5381869. The next prime is 5381881. The reversal of 5381880 is 881835.

5381880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5381881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36046 + ... + 36194.

It is an arithmetic number, because the mean of its divisors is an integer number (148500).

Almost surely, 25381880 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 5381880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9504000).

5381880 is an abundant number, since it is smaller than the sum of its proper divisors (13626120).

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

5381880 is a wasteful number, since it uses less digits than its factorization.

5381880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 5381880 is about 2319.8879283276. The cubic root of 5381880 is about 175.2446103119.

The spelling of 5381880 in words is "five million, three hundred eighty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 149 168 172 210 215 258 280 298 301 344 420 430 447 516 596 602 645 745 840 860 894 903 1032 1043 1192 1204 1290 1490 1505 1720 1788 1806 2086 2235 2408 2580 2980 3010 3129 3576 3612 4172 4470 4515 5160 5215 5960 6020 6258 6407 7224 8344 8940 9030 10430 12040 12516 12814 15645 17880 18060 19221 20860 25032 25628 31290 32035 36120 38442 41720 44849 51256 62580 64070 76884 89698 96105 125160 128140 134547 153768 179396 192210 224245 256280 269094 358792 384420 448490 538188 672735 768840 896980 1076376 1345470 1793960 2690940 5381880