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103067172 = 2232131967173
BaseRepresentation
bin1100010010010…
…10111000100100
321011221100120200
412021022320210
5202341122142
614121030500
72361025245
oct611127044
9234840520
10103067172
11531a698a
122a625430
13184788c0
14d98cccc
1590ad64c
hex624ae24

103067172 has 144 divisors (see below), whose sum is σ = 301479360. Its totient is φ = 29424384.

The previous prime is 103067171. The next prime is 103067183. The reversal of 103067172 is 271760301.

It is a super-3 number, since 3×1030671723 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103067171) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 595678 + ... + 595850.

Almost surely, 2103067172 is an apocalyptic number.

103067172 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 103067172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150739680).

103067172 is an abundant number, since it is smaller than the sum of its proper divisors (198412188).

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

103067172 is a wasteful number, since it uses less digits than its factorization.

103067172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 103067172 is about 10152.2003526329. The cubic root of 103067172 is about 468.8566929403.

The spelling of 103067172 in words is "one hundred three million, sixty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 67 76 78 114 117 134 156 171 173 201 228 234 247 268 342 346 402 468 494 519 603 684 692 741 804 871 988 1038 1206 1273 1482 1557 1742 2076 2223 2249 2412 2546 2613 2964 3114 3287 3484 3819 4446 4498 5092 5226 6228 6574 6747 7638 7839 8892 8996 9861 10452 11457 11591 13148 13494 15276 15678 16549 19722 20241 22914 23182 26988 29583 31356 33098 34773 39444 40482 42731 45828 46364 49647 59166 66196 69546 80964 85462 99294 104319 118332 128193 139092 148941 150683 170924 198588 208638 220229 256386 297882 301366 384579 417276 440458 452049 512772 595764 602732 660687 769158 880916 904098 1321374 1356147 1538316 1808196 1982061 2642748 2712294 2862977 3964122 5424588 5725954 7928244 8588931 11451908 17177862 25766793 34355724 51533586 103067172