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103422660 = 223511349449
BaseRepresentation
bin1100010101000…
…01101011000100
321012121102012220
412022201223010
5202434011120
614132412340
72364035535
oct612415304
9235542186
10103422660
1153419a80
122a7770b0
1318571653
14da4268c
15912db40
hex62a1ac4

103422660 has 96 divisors (see below), whose sum is σ = 317520000. Its totient is φ = 24944640.

The previous prime is 103422653. The next prime is 103422667. The reversal of 103422660 is 66224301.

It is an interprime number because it is at equal distance from previous prime (103422653) and next prime (103422667).

It is a self number, because there is not a number n which added to its sum of digits gives 103422660.

It is not an unprimeable number, because it can be changed into a prime (103422667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230116 + ... + 230564.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2103422660 is an apocalyptic number.

103422660 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 103422660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760000).

103422660 is an abundant number, since it is smaller than the sum of its proper divisors (214097340).

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

103422660 is a wasteful number, since it uses less digits than its factorization.

103422660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 103422660 is about 10169.6932107119. The cubic root of 103422660 is about 469.3951174384.

Adding to 103422660 its reverse (66224301), we get a palindrome (169646961).

The spelling of 103422660 in words is "one hundred three million, four hundred twenty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 349 449 660 698 898 1047 1347 1396 1745 1796 2094 2245 2694 3490 3839 4188 4490 4939 5235 5388 6735 6980 7678 8980 9878 10470 11517 13470 14817 15356 19195 19756 20940 23034 24695 26940 29634 38390 46068 49390 57585 59268 74085 76780 98780 115170 148170 156701 230340 296340 313402 470103 626804 783505 940206 1567010 1723711 1880412 2350515 3134020 3447422 4701030 5171133 6894844 8618555 9402060 10342266 17237110 20684532 25855665 34474220 51711330 103422660