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103392912 = 24371723787
BaseRepresentation
bin1100010100110…
…10011010010000
321012112220102010
412022122122100
5202432033122
614132022520
72363553030
oct612323220
9235486363
10103392912
11533a9697
122a761a40
1318560c4c
14da358c0
159124e0c
hex629a690

103392912 has 160 divisors (see below), whose sum is σ = 337692672. Its totient is φ = 26560512.

The previous prime is 103392907. The next prime is 103392937. The reversal of 103392912 is 219293301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103392912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130983 + ... + 131769.

Almost surely, 2103392912 is an apocalyptic number.

103392912 is a gapful number since it is divisible by the number (12) 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 103392912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168846336).

103392912 is an abundant number, since it is smaller than the sum of its proper divisors (234299760).

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

103392912 is a wasteful number, since it uses less digits than its factorization.

103392912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 103392912 is about 10168.2305245308. The cubic root of 103392912 is about 469.3501082661.

The spelling of 103392912 in words is "one hundred three million, three hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 23 24 28 34 42 46 48 51 56 68 69 84 92 102 112 119 136 138 161 168 184 204 238 272 276 322 336 357 368 391 408 476 483 552 644 714 782 787 816 952 966 1104 1173 1288 1428 1564 1574 1904 1932 2346 2361 2576 2737 2856 3128 3148 3864 4692 4722 5474 5509 5712 6256 6296 7728 8211 9384 9444 10948 11018 12592 13379 16422 16527 18101 18768 18888 21896 22036 26758 32844 33054 36202 37776 40137 43792 44072 53516 54303 65688 66108 72404 80274 88144 93653 107032 108606 126707 131376 132216 144808 160548 187306 214064 217212 253414 264432 280959 289616 307717 321096 374612 380121 434424 506828 561918 615434 642192 749224 760242 868848 923151 1013656 1123836 1230868 1498448 1520484 1846302 2027312 2154019 2247672 2461736 3040968 3692604 4308038 4495344 4923472 6081936 6462057 7385208 8616076 12924114 14770416 17232152 25848228 34464304 51696456 103392912