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5881920 = 263511557
BaseRepresentation
bin10110011100000001000000
3102001211110220
4112130001000
53001210140
6330023040
7100665312
oct26340100
912054426
105881920
1133581a0
121b77a80
1312ac335
14ad17b2
157b2bd0
hex59c040

5881920 has 112 divisors (see below), whose sum is σ = 20409408. Its totient is φ = 1423360.

The previous prime is 5881919. The next prime is 5881969. The reversal of 5881920 is 291885.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 10282 + ... + 10838.

Almost surely, 25881920 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 5881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10204704).

5881920 is an abundant number, since it is smaller than the sum of its proper divisors (14527488).

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

5881920 is a wasteful number, since it uses less digits than its factorization.

5881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 5881920 is about 2425.2669956110. The cubic root of 5881920 is about 180.5121218164.

The spelling of 5881920 in words is "five million, eight hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 557 660 704 880 960 1056 1114 1320 1671 1760 2112 2228 2640 2785 3342 3520 4456 5280 5570 6127 6684 8355 8912 10560 11140 12254 13368 16710 17824 18381 22280 24508 26736 30635 33420 35648 36762 44560 49016 53472 61270 66840 73524 89120 91905 98032 106944 122540 133680 147048 178240 183810 196064 245080 267360 294096 367620 392128 490160 534720 588192 735240 980320 1176384 1470480 1960640 2940960 5881920