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103670028 = 2232711149251
BaseRepresentation
bin1100010110111…
…10000100001100
321020001222112200
412023132010030
5203014420103
614142001500
72366115660
oct613360414
9236058480
10103670028
1153578910
122a876290
131862a117
14daa88a0
15917c0a3
hex62de10c

103670028 has 144 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 26640000.

The previous prime is 103669999. The next prime is 103670051. The reversal of 103670028 is 820076301.

It is a junction number, because it is equal to n+sod(n) for n = 103669983 and 103670010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412903 + ... + 413153.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2103670028 is an apocalyptic number.

103670028 is a gapful number since it is divisible by the number (18) 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 103670028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

103670028 is an abundant number, since it is smaller than the sum of its proper divisors (226550772).

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

103670028 is a wasteful number, since it uses less digits than its factorization.

103670028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 103670028 is about 10181.8479658655. The cubic root of 103670028 is about 469.7690550916.

The spelling of 103670028 in words is "one hundred three million, six hundred seventy thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 149 154 198 231 251 252 298 308 396 447 462 502 596 693 753 894 924 1004 1043 1341 1386 1506 1639 1757 1788 2086 2259 2682 2761 2772 3012 3129 3278 3514 4172 4518 4917 5271 5364 5522 6258 6556 7028 8283 9036 9387 9834 10542 11044 11473 12516 14751 15813 16566 18774 19327 19668 21084 22946 24849 29502 31626 33132 34419 37399 37548 38654 45892 49698 57981 59004 63252 68838 74798 77308 99396 103257 112197 115962 137676 149596 173943 206514 224394 231924 261793 336591 347886 411389 413028 448788 523586 673182 695772 785379 822778 1047172 1234167 1346364 1570758 1645556 2356137 2468334 2879723 3141516 3702501 4712274 4936668 5759446 7405002 8639169 9424548 11518892 14810004 17278338 25917507 34556676 51835014 103670028