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5290160960 = 26577093331
BaseRepresentation
bin1001110110101000…
…10111001101000000
3111122200101000120102
410323110113031000
541313240122320
62232534301532
7245044424540
oct47324271500
914580330512
105290160960
112275181257
1210377b78a8
13663cc3176
14382833320
1520e670175
hex13b517340

5290160960 has 112 divisors (see below), whose sum is σ = 14421429120. Its totient is φ = 1810667520.

The previous prime is 5290160933. The next prime is 5290160989. The reversal of 5290160960 is 690610925.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1586495 + ... + 1589825.

It is an arithmetic number, because the mean of its divisors is an integer number (128762760).

Almost surely, 25290160960 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 5290160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210714560).

5290160960 is an abundant number, since it is smaller than the sum of its proper divisors (9131268160).

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

5290160960 is a wasteful number, since it uses less digits than its factorization.

5290160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 5290160960 is about 72733.4926976561. The cubic root of 5290160960 is about 1742.4338336934.

The spelling of 5290160960 in words is "five billion, two hundred ninety million, one hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 709 1120 1418 2240 2836 3331 3545 4963 5672 6662 7090 9926 11344 13324 14180 16655 19852 22688 23317 24815 26648 28360 33310 39704 45376 46634 49630 53296 56720 66620 79408 93268 99260 106592 113440 116585 133240 158816 186536 198520 213184 226880 233170 266480 317632 373072 397040 466340 532960 746144 794080 932680 1065920 1492288 1588160 1865360 2361679 3730720 4723358 7461440 9446716 11808395 16531753 18893432 23616790 33063506 37786864 47233580 66127012 75573728 82658765 94467160 132254024 151147456 165317530 188934320 264508048 330635060 377868640 529016096 661270120 755737280 1058032192 1322540240 2645080480 5290160960