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5283634320 = 2433510722861
BaseRepresentation
bin1001110101110110…
…11101110010010000
3111122020002102201000
410322323131302100
541310102244240
62232142342000
7244635102456
oct47273356220
914566072630
105283634320
112271523738
12103558a900
13662849553
14381a149d6
1520dcd1430
hex13aeddc90

5283634320 has 160 divisors (see below), whose sum is σ = 18370074240. Its totient is φ = 1395740160.

The previous prime is 5283634319. The next prime is 5283634339. The reversal of 5283634320 is 234363825.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219690 + ... + 242550.

It is an arithmetic number, because the mean of its divisors is an integer number (114812964).

Almost surely, 25283634320 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 5283634320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9185037120).

5283634320 is an abundant number, since it is smaller than the sum of its proper divisors (13086439920).

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

5283634320 is a wasteful number, since it uses less digits than its factorization.

5283634320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22990 (or 22978 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5283634320 is about 72688.6120379252. The cubic root of 5283634320 is about 1741.7169734432.

The spelling of 5283634320 in words is "five billion, two hundred eighty-three million, six hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 107 108 120 135 144 180 214 216 240 270 321 360 428 432 535 540 642 720 856 963 1070 1080 1284 1605 1712 1926 2140 2160 2568 2889 3210 3852 4280 4815 5136 5778 6420 7704 8560 9630 11556 12840 14445 15408 19260 22861 23112 25680 28890 38520 45722 46224 57780 68583 77040 91444 114305 115560 137166 182888 205749 228610 231120 274332 342915 365776 411498 457220 548664 617247 685830 822996 914440 1028745 1097328 1234494 1371660 1645992 1828880 2057490 2446127 2468988 2743320 3086235 3291984 4114980 4892254 4937976 5486640 6172470 7338381 8229960 9784508 9875952 12230635 12344940 14676762 16459920 19569016 22015143 24461270 24689880 29353524 36691905 39138032 44030286 48922540 49379760 58707048 66045429 73383810 88060572 97845080 110075715 117414096 132090858 146767620 176121144 195690160 220151430 264181716 293535240 330227145 352242288 440302860 528363432 587070480 660454290 880605720 1056726864 1320908580 1761211440 2641817160 5283634320