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103668030 = 23253173509
BaseRepresentation
bin1100010110111…
…01100100111110
321020001212210200
412023131210332
5203014334110
614141544330
72366110104
oct613354476
9236055720
10103668030
1153577364
122a8750a6
131862923b
14daa7c74
15917b6c0
hex62dd93e

103668030 has 96 divisors (see below), whose sum is σ = 282597120. Its totient is φ = 26334720.

The previous prime is 103668013. The next prime is 103668031. The reversal of 103668030 is 30866301.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103667985 and 103668003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103668031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203416 + ... + 203924.

It is an arithmetic number, because the mean of its divisors is an integer number (2943720).

Almost surely, 2103668030 is an apocalyptic number.

103668030 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 103668030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141298560).

103668030 is an abundant number, since it is smaller than the sum of its proper divisors (178929090).

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

103668030 is a wasteful number, since it uses less digits than its factorization.

103668030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 103668030 is about 10181.7498496084. The cubic root of 103668030 is about 469.7660371682.

The spelling of 103668030 in words is "one hundred three million, six hundred sixty-eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 73 90 93 146 155 186 219 279 310 365 438 465 509 558 657 730 930 1018 1095 1314 1395 1527 2190 2263 2545 2790 3054 3285 4526 4581 5090 6570 6789 7635 9162 11315 13578 15270 15779 20367 22630 22905 31558 33945 37157 40734 45810 47337 67890 74314 78895 94674 101835 111471 142011 157790 185785 203670 222942 236685 284022 334413 371570 473370 557355 668826 710055 1114710 1151867 1420110 1672065 2303734 3344130 3455601 5759335 6911202 10366803 11518670 17278005 20733606 34556010 51834015 103668030