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11362980 = 2235229827
BaseRepresentation
bin101011010110…
…001010100100
3210101022002010
4223112022210
510402103410
61043314220
7165404136
oct53261244
923338063
1011362980
1164611a2
12397b970
13247b075
14171b056
15ee6c20
hexad62a4

11362980 has 48 divisors (see below), whose sum is σ = 31993920. Its totient is φ = 3013248.

The previous prime is 11362979. The next prime is 11362993. The reversal of 11362980 is 8926311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13327 + ... + 14153.

It is an arithmetic number, because the mean of its divisors is an integer number (666540).

Almost surely, 211362980 is an apocalyptic number.

11362980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11362980 is an abundant number, since it is smaller than the sum of its proper divisors (20630940).

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

11362980 is a wasteful number, since it uses less digits than its factorization.

11362980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11362980 is about 3370.9019564502. The cubic root of 11362980 is about 224.8178278520.

The spelling of 11362980 in words is "eleven million, three hundred sixty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 229 458 687 827 916 1145 1374 1654 2290 2481 2748 3308 3435 4135 4580 4962 6870 8270 9924 12405 13740 16540 24810 49620 189383 378766 568149 757532 946915 1136298 1893830 2272596 2840745 3787660 5681490 11362980