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5263104 = 28371189
BaseRepresentation
bin10100000100111100000000
3100220101121210
4110010330000
52321404404
6304450120
762510220
oct24047400
910811553
105263104
112a75280
121919940
131123782
149b0080
156de689
hex504f00

5263104 has 144 divisors (see below), whose sum is σ = 17660160. Its totient is φ = 1351680.

The previous prime is 5263061. The next prime is 5263109. The reversal of 5263104 is 4013625.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5263109) by changing a digit.

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, 59092 + ... + 59180.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 25263104 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 5263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080).

5263104 is an abundant number, since it is smaller than the sum of its proper divisors (12397056).

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

5263104 is a wasteful number, since it uses less digits than its factorization.

5263104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5263104 is about 2294.1455925900. The cubic root of 5263104 is about 173.9458148098.

Adding to 5263104 its reverse (4013625), we get a palindrome (9276729).

The spelling of 5263104 in words is "five million, two hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 89 96 112 128 132 154 168 176 178 192 224 231 256 264 267 308 336 352 356 384 448 462 528 534 616 623 672 704 712 768 896 924 979 1056 1068 1232 1246 1344 1408 1424 1792 1848 1869 1958 2112 2136 2464 2492 2688 2816 2848 2937 3696 3738 3916 4224 4272 4928 4984 5376 5696 5874 6853 7392 7476 7832 8448 8544 9856 9968 11392 11748 13706 14784 14952 15664 17088 19712 19936 20559 22784 23496 27412 29568 29904 31328 34176 39872 41118 46992 54824 59136 59808 62656 68352 79744 82236 93984 109648 119616 125312 159488 164472 187968 219296 239232 250624 328944 375936 438592 478464 657888 751872 877184 1315776 1754368 2631552 5263104