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10088316 = 2232731943
BaseRepresentation
bin100110011110…
…111101111100
3200222112120100
4212132331330
510040311231
61000121100
7151515000
oct46367574
920875510
1010088316
115770557
123466190
132122b24
1414a8700
15d441e6
hex99ef7c

10088316 has 144 divisors (see below), whose sum is σ = 32032000. Its totient is φ = 2667168.

The previous prime is 10088311. The next prime is 10088333. The reversal of 10088316 is 61388001.

10088316 is a modest number, since divided by 8316 gives 1008 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10088316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10088311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234591 + ... + 234633.

Almost surely, 210088316 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 10088316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016000).

10088316 is an abundant number, since it is smaller than the sum of its proper divisors (21943684).

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

10088316 is a wasteful number, since it uses less digits than its factorization.

10088316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10088316 is about 3176.2109501732. The cubic root of 10088316 is about 216.0758478487.

It can be divided in two parts, 10088 and 316, that added together give a square (10404 = 1022).

The spelling of 10088316 in words is "ten million, eighty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 43 49 57 63 76 84 86 98 114 126 129 133 147 171 172 196 228 252 258 266 294 301 342 343 387 399 441 516 532 588 602 684 686 774 798 817 882 903 931 1029 1197 1204 1372 1548 1596 1634 1764 1806 1862 2058 2107 2394 2451 2709 2793 3087 3268 3612 3724 4116 4214 4788 4902 5418 5586 5719 6174 6321 6517 7353 8379 8428 9804 10836 11172 11438 12348 12642 13034 14706 14749 16758 17157 18963 19551 22876 25284 26068 29412 29498 33516 34314 37926 39102 40033 44247 51471 58653 58996 68628 75852 78204 80066 88494 102942 117306 120099 132741 160132 176988 205884 234612 240198 265482 280231 360297 480396 530964 560462 720594 840693 1120924 1441188 1681386 2522079 3362772 5044158 10088316