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5351920 = 245719503
BaseRepresentation
bin10100011010100111110000
3101001220110021
4110122213300
52332230140
6310413224
763330160
oct24324760
911056407
105351920
113025a82
121961214
131155022
149d45a0
1570ab4a
hex51a9f0

5351920 has 80 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1734912.

The previous prime is 5351891. The next prime is 5351947. The reversal of 5351920 is 291535.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10389 + ... + 10891.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 25351920 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 5351920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

5351920 is an abundant number, since it is smaller than the sum of its proper divisors (9647120).

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

5351920 is a wasteful number, since it uses less digits than its factorization.

5351920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 5351920 is about 2313.4217082063. The cubic root of 5351920 is about 174.9188194900.

The spelling of 5351920 in words is "five million, three hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 503 532 560 665 760 1006 1064 1330 1520 2012 2128 2515 2660 3521 4024 5030 5320 7042 8048 9557 10060 10640 14084 17605 19114 20120 28168 35210 38228 40240 47785 56336 66899 70420 76456 95570 133798 140840 152912 191140 267596 281680 334495 382280 535192 668990 764560 1070384 1337980 2675960 5351920