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5129920 = 265172341
BaseRepresentation
bin10011100100011011000000
3100122121221001
4103210123000
52303124140
6301541344
761414015
oct23443300
910577831
105129920
112994204
121874854
1310a7c73
1497770c
156b4e9a
hex4e46c0

5129920 has 112 divisors (see below), whose sum is σ = 13825728. Its totient is φ = 1802240.

The previous prime is 5129893. The next prime is 5129933. The reversal of 5129920 is 299215.

5129920 is nontrivially palindromic in base 3.

5129920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 125100 + ... + 125140.

It is an arithmetic number, because the mean of its divisors is an integer number (123444).

Almost surely, 25129920 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 5129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912864).

5129920 is an abundant number, since it is smaller than the sum of its proper divisors (8695808).

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

5129920 is a wasteful number, since it uses less digits than its factorization.

5129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 5129920 is about 2264.9326700809. The cubic root of 5129920 is about 172.4660158495.

The spelling of 5129920 in words is "five million, one hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 41 46 64 68 80 82 85 92 115 136 160 164 170 184 205 230 272 320 328 340 368 391 410 460 544 656 680 697 736 782 820 920 943 1088 1312 1360 1394 1472 1564 1640 1840 1886 1955 2624 2720 2788 3128 3280 3485 3680 3772 3910 4715 5440 5576 6256 6560 6970 7360 7544 7820 9430 11152 12512 13120 13940 15088 15640 16031 18860 22304 25024 27880 30176 31280 32062 37720 44608 55760 60352 62560 64124 75440 80155 111520 125120 128248 150880 160310 223040 256496 301760 320620 512992 641240 1025984 1282480 2564960 5129920