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11263980 = 22357132063
BaseRepresentation
bin101010111101…
…111111101100
3210012021021110
4222331333230
510340421410
61041232020
7164512410
oct52757754
923167243
1011263980
1163a3882
123932610
132444ca0
1416d2d40
15ec7720
hexabdfec

11263980 has 96 divisors (see below), whose sum is σ = 38836224. Its totient is φ = 2375424.

The previous prime is 11263969. The next prime is 11263999. The reversal of 11263980 is 8936211.

11263980 = T379 + T380 + ... + T495.

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4429 + ... + 6491.

It is an arithmetic number, because the mean of its divisors is an integer number (404544).

Almost surely, 211263980 is an apocalyptic number.

11263980 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 11263980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418112).

11263980 is an abundant number, since it is smaller than the sum of its proper divisors (27572244).

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

11263980 is a wasteful number, since it uses less digits than its factorization.

11263980 is an odious number, because the sum of its binary digits is odd.

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

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

The square root of 11263980 is about 3356.1853345726. The cubic root of 11263980 is about 224.1630137800.

The spelling of 11263980 in words is "eleven million, two hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2063 2730 4126 5460 6189 8252 10315 12378 14441 20630 24756 26819 28882 30945 41260 43323 53638 57764 61890 72205 80457 86646 107276 123780 134095 144410 160914 173292 187733 216615 268190 288820 321828 375466 402285 433230 536380 563199 750932 804570 866460 938665 1126398 1609140 1877330 2252796 2815995 3754660 5631990 11263980