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10096164 = 2235131747
BaseRepresentation
bin100110100000…
…111000100100
3200222221100000
4212200320210
510041034124
61000221300
7151546611
oct46407044
920887300
1010096164
115776441
12346a830
132126580
1414ab508
15d466c9
hex9a0e24

10096164 has 144 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 2861568.

The previous prime is 10096081. The next prime is 10096169. The reversal of 10096164 is 46169001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10096169) 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, 214789 + ... + 214835.

It is an arithmetic number, because the mean of its divisors is an integer number (214032).

Almost surely, 210096164 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 10096164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

10096164 is an abundant number, since it is smaller than the sum of its proper divisors (20724444).

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

10096164 is a wasteful number, since it uses less digits than its factorization.

10096164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10096164 is about 3177.4461443115. The cubic root of 10096164 is about 216.1318639276.

It can be divided in two parts, 100961 and 64, that added together give a triangular number (101025 = T449).

The spelling of 10096164 in words is "ten million, ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 47 51 52 54 68 78 81 94 102 108 117 141 153 156 162 188 204 221 234 243 282 306 324 351 423 442 459 468 486 564 611 612 663 702 799 846 884 918 972 1053 1222 1269 1326 1377 1404 1598 1692 1833 1836 1989 2106 2397 2444 2538 2652 2754 3159 3196 3666 3807 3978 4131 4212 4794 5076 5499 5508 5967 6318 7191 7332 7614 7956 8262 9588 10387 10998 11421 11934 12636 14382 15228 16497 16524 17901 20774 21573 21996 22842 23868 28764 31161 32994 35802 41548 43146 45684 49491 53703 62322 64719 65988 71604 86292 93483 98982 107406 124644 129438 148473 186966 194157 197964 214812 258876 280449 296946 373932 388314 560898 593892 776628 841347 1121796 1682694 2524041 3365388 5048082 10096164