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5406336 = 273213192
BaseRepresentation
bin10100100111111010000000
3101011200002200
4110213322000
52341000321
6311513200
763644625
oct24477200
911150080
105406336
113062951
121988800
131173a20
14a0a34c
1571bd26
hex527e80

5406336 has 144 divisors (see below), whose sum is σ = 17682210. Its totient is φ = 1575936.

The previous prime is 5406293. The next prime is 5406343. The reversal of 5406336 is 6336045.

It can be written as a sum of positive squares in only one way, i.e., 5198400 + 207936 = 2280^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 284535 + ... + 284553.

Almost surely, 25406336 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 5406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841105).

5406336 is an abundant number, since it is smaller than the sum of its proper divisors (12275874).

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

5406336 is a wasteful number, since it uses less digits than its factorization.

5406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5406336 is about 2325.1528981983. The cubic root of 5406336 is about 175.5096544230.

The spelling of 5406336 in words is "five million, four hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 64 72 76 78 96 104 114 117 128 144 152 156 171 192 208 228 234 247 288 304 312 342 361 384 416 456 468 494 576 608 624 684 722 741 832 912 936 988 1083 1152 1216 1248 1368 1444 1482 1664 1824 1872 1976 2166 2223 2432 2496 2736 2888 2964 3249 3648 3744 3952 4332 4446 4693 4992 5472 5776 5928 6498 7296 7488 7904 8664 8892 9386 10944 11552 11856 12996 14079 14976 15808 17328 17784 18772 21888 23104 23712 25992 28158 31616 34656 35568 37544 42237 46208 47424 51984 56316 69312 71136 75088 84474 94848 103968 112632 138624 142272 150176 168948 207936 225264 284544 300352 337896 415872 450528 600704 675792 901056 1351584 1802112 2703168 5406336