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103366530 = 2345373449
BaseRepresentation
bin1100010100100…
…11111110000010
321012111120020000
412022103332002
5202430212110
614131300430
72363413101
oct612237602
9235446200
10103366530
1153390893
122a74a716
1318551c37
14da2a038
15911c1c0
hex6293f82

103366530 has 80 divisors (see below), whose sum is σ = 285535800. Its totient is φ = 26811648.

The previous prime is 103366499. The next prime is 103366537. The reversal of 103366530 is 35663301.

103366530 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 6 + 653 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71115489 + 32251041 = 8433^2 + 5679^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103366494 and 103366503.

It is not an unprimeable number, because it can be changed into a prime (103366537) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 28246 + ... + 31694.

Almost surely, 2103366530 is an apocalyptic number.

103366530 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 103366530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142767900).

103366530 is an abundant number, since it is smaller than the sum of its proper divisors (182169270).

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

103366530 is a wasteful number, since it uses less digits than its factorization.

103366530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 103366530 is about 10166.9331659060. The cubic root of 103366530 is about 469.3101846787.

The spelling of 103366530 in words is "one hundred three million, three hundred sixty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1110 1665 1998 2997 3330 3449 4995 5994 6898 9990 10347 14985 17245 20694 29970 31041 34490 51735 62082 93123 103470 127613 155205 186246 255226 279369 310410 382839 465615 558738 638065 765678 931230 1148517 1276130 1396845 1914195 2297034 2793690 3445551 3828390 5742585 6891102 10336653 11485170 17227755 20673306 34455510 51683265 103366530