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107853030 = 23252931243
BaseRepresentation
bin1100110110110…
…11010011100110
321111221111112200
412123123103212
5210102244110
614411355330
72446510215
oct633332346
9244844480
10107853030
115597563a
1230152b46
131946307c
141047707c
1597066c0
hex66db4e6

107853030 has 144 divisors (see below), whose sum is σ = 306717840. Its totient is φ = 26248320.

The previous prime is 107853029. The next prime is 107853041. The reversal of 107853030 is 30358701.

It is a junction number, because it is equal to n+sod(n) for n = 107852985 and 107853003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2508189 + ... + 2508231.

It is an arithmetic number, because the mean of its divisors is an integer number (2129985).

Almost surely, 2107853030 is an apocalyptic number.

107853030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107853030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153358920).

107853030 is an abundant number, since it is smaller than the sum of its proper divisors (198864810).

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

107853030 is a wasteful number, since it uses less digits than its factorization.

107853030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 107853030 is about 10385.2313407069. The cubic root of 107853030 is about 476.0041987013.

The spelling of 107853030 in words is "one hundred seven million, eight hundred fifty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 31 43 45 58 62 86 87 90 93 129 145 155 174 186 215 258 261 279 290 310 387 430 435 465 522 558 645 774 870 899 930 961 1247 1290 1305 1333 1395 1798 1922 1935 2494 2610 2666 2697 2790 2883 3741 3870 3999 4495 4805 5394 5766 6235 6665 7482 7998 8091 8649 8990 9610 11223 11997 12470 13330 13485 14415 16182 17298 18705 19995 22446 23994 26970 27869 28830 37410 38657 39990 40455 41323 43245 55738 56115 59985 77314 80910 82646 83607 86490 112230 115971 119970 123969 139345 167214 193285 206615 231942 247938 250821 278690 347913 371907 386570 413230 418035 501642 579855 619845 695826 743814 836070 1159710 1198367 1239690 1254105 1739565 1859535 2396734 2508210 3479130 3595101 3719070 5991835 7190202 10785303 11983670 17975505 21570606 35951010 53926515 107853030