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103915020 = 223511791993
BaseRepresentation
bin1100011000110…
…01111000001100
321020112102121110
412030121320030
5203100240040
614151132020
72401156146
oct614317014
9236472543
10103915020
1153725990
122a974010
13186b47a1
14db2dc96
1591c9980
hex6319e0c

103915020 has 96 divisors (see below), whose sum is σ = 321592320. Its totient is φ = 24860160.

The previous prime is 103915001. The next prime is 103915027. The reversal of 103915020 is 20519301.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (103915027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51144 + ... + 53136.

It is an arithmetic number, because the mean of its divisors is an integer number (3349920).

Almost surely, 2103915020 is an apocalyptic number.

103915020 is a gapful number since it is divisible by the number (10) 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 103915020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160796160).

103915020 is an abundant number, since it is smaller than the sum of its proper divisors (217677300).

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

103915020 is a wasteful number, since it uses less digits than its factorization.

103915020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 103915020 is about 10193.8716884214. The cubic root of 103915020 is about 470.1388151910.

The spelling of 103915020 in words is "one hundred three million, nine hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 132 158 165 220 237 316 330 395 474 660 790 869 948 1185 1580 1738 1993 2370 2607 3476 3986 4345 4740 5214 5979 7972 8690 9965 10428 11958 13035 17380 19930 21923 23916 26070 29895 39860 43846 52140 59790 65769 87692 109615 119580 131538 157447 219230 263076 314894 328845 438460 472341 629788 657690 787235 944682 1315380 1574470 1731917 1889364 2361705 3148940 3463834 4723410 5195751 6927668 8659585 9446820 10391502 17319170 20783004 25978755 34638340 51957510 103915020