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103706712 = 23321941432
BaseRepresentation
bin1100010111001…
…11000001011000
321020010211212100
412023213001120
5203022103322
614142443400
72366330634
oct613470130
9236124770
10103706712
11535a342a
122a893560
1318640a25
14dab7dc4
159187dac
hex62e7058

103706712 has 144 divisors (see below), whose sum is σ = 310073400. Its totient is φ = 31207680.

The previous prime is 103706689. The next prime is 103706737. The reversal of 103706712 is 217607301.

It is a super-2 number, since 2×1037067122 = 21510164227701888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2411763 + ... + 2411805.

Almost surely, 2103706712 is an apocalyptic number.

103706712 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 103706712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155036700).

103706712 is an abundant number, since it is smaller than the sum of its proper divisors (206366688).

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

103706712 is a wasteful number, since it uses less digits than its factorization.

103706712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 108 counting only the distinct ones).

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

The square root of 103706712 is about 10183.6492476911. The cubic root of 103706712 is about 469.8244583619.

The spelling of 103706712 in words is "one hundred three million, seven hundred six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 41 43 57 72 76 82 86 114 123 129 152 164 171 172 228 246 258 328 342 344 369 387 456 492 516 684 738 774 779 817 984 1032 1368 1476 1548 1558 1634 1763 1849 2337 2451 2952 3096 3116 3268 3526 3698 4674 4902 5289 5547 6232 6536 7011 7052 7353 7396 9348 9804 10578 11094 14022 14104 14706 14792 15867 16641 18696 19608 21156 22188 28044 29412 31734 33282 33497 35131 42312 44376 56088 58824 63468 66564 66994 70262 75809 100491 105393 126936 133128 133988 140524 151618 200982 210786 227427 267976 281048 301473 303236 316179 401964 421572 454854 602946 606472 632358 682281 803928 843144 909708 1205892 1264716 1364562 1440371 1819416 2411784 2529432 2729124 2880742 4321113 5458248 5761484 8642226 11522968 12963339 17284452 25926678 34568904 51853356 103706712