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103095630 = 23251129467
BaseRepresentation
bin1100010010100…
…01110101001110
321011222210121200
412021101311032
5202343030010
614121410330
72361204231
oct611216516
9234883550
10103095630
1153216300
122a6399a6
1318488841
14d999418
1590b6cc0
hex6251d4e

103095630 has 72 divisors (see below), whose sum is σ = 294663096. Its totient is φ = 24990240.

The previous prime is 103095617. The next prime is 103095659. The reversal of 103095630 is 36590301.

It is a junction number, because it is equal to n+sod(n) for n = 103095594 and 103095603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6157 + ... + 15623.

It is an arithmetic number, because the mean of its divisors is an integer number (4092543).

Almost surely, 2103095630 is an apocalyptic number.

103095630 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 103095630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147331548).

103095630 is an abundant number, since it is smaller than the sum of its proper divisors (191567466).

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

103095630 is a wasteful number, since it uses less digits than its factorization.

103095630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 103095630 is about 10153.6018239834. The cubic root of 103095630 is about 468.8998411632.

The spelling of 103095630 in words is "one hundred three million, ninety-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 9467 10890 18934 28401 47335 56802 85203 94670 104137 142005 170406 208274 284010 312411 426015 520685 624822 852030 937233 1041370 1145507 1562055 1874466 2291014 3124110 3436521 4686165 5727535 6873042 9372330 10309563 11455070 17182605 20619126 34365210 51547815 103095630