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103683216 = 24372133391
BaseRepresentation
bin1100010111000…
…01010010010000
321020002122122010
412023201102100
5203020330331
614142142520
72366202300
oct613412220
9236078563
10103683216
115358780a
122a881a40
1318633120
14daad600
159180e46
hex62e1490

103683216 has 120 divisors (see below), whose sum is σ = 335645184. Its totient is φ = 27336960.

The previous prime is 103683197. The next prime is 103683257. The reversal of 103683216 is 612386301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28881 + ... + 32271.

Almost surely, 2103683216 is an apocalyptic number.

103683216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103683216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167822592).

103683216 is an abundant number, since it is smaller than the sum of its proper divisors (231961968).

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

103683216 is a wasteful number, since it uses less digits than its factorization.

103683216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 103683216 is about 10182.4955683762. The cubic root of 103683216 is about 469.7889742258.

The spelling of 103683216 in words is "one hundred three million, six hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3391 3822 4368 5096 6782 7644 10173 10192 13564 15288 20346 23737 27128 30576 40692 44083 47474 54256 71211 81384 88166 94948 132249 142422 162768 166159 176332 189896 264498 284844 308581 332318 352664 379792 498477 528996 569688 617162 664636 705328 925743 996954 1057992 1139376 1234324 1329272 1851486 1993908 2115984 2160067 2468648 2658544 3702972 3987816 4320134 4937296 6480201 7405944 7975632 8640268 12960402 14811888 17280536 25920804 34561072 51841608 103683216