Search a number
-
+
5059680 = 253583127
BaseRepresentation
bin10011010011010001100000
3100112001120120
4103103101200
52243402210
6300240240
761002153
oct23232140
910461516
105059680
11294645a
121840080
131081cc2
14959c9a
1569e270
hex4d3460

5059680 has 96 divisors (see below), whose sum is σ = 16257024. Its totient is φ = 1322496.

The previous prime is 5059679. The next prime is 5059697. The reversal of 5059680 is 869505.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a congruent number.

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, 39777 + ... + 39903.

It is an arithmetic number, because the mean of its divisors is an integer number (169344).

Almost surely, 25059680 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 5059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128512).

5059680 is an abundant number, since it is smaller than the sum of its proper divisors (11197344).

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

5059680 is a wasteful number, since it uses less digits than its factorization.

5059680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5059680 is about 2249.3732460399. The cubic root of 5059680 is about 171.6752480498.

The spelling of 5059680 in words is "five million, fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 127 160 166 240 249 254 332 381 415 480 498 508 635 664 762 830 996 1016 1245 1270 1328 1524 1660 1905 1992 2032 2490 2540 2656 3048 3320 3810 3984 4064 4980 5080 6096 6640 7620 7968 9960 10160 10541 12192 13280 15240 19920 20320 21082 30480 31623 39840 42164 52705 60960 63246 84328 105410 126492 158115 168656 210820 252984 316230 337312 421640 505968 632460 843280 1011936 1264920 1686560 2529840 5059680