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11263890 = 23511229107
BaseRepresentation
bin101010111101…
…111110010010
3210012021011010
4222331332102
510340421030
61041231350
7164512221
oct52757622
923167133
1011263890
1163a3800
123932556
132444c31
1416d2cb8
15ec76b0
hexabdf92

11263890 has 96 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 2611840.

The previous prime is 11263871. The next prime is 11263891. The reversal of 11263890 is 9836211.

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

It is not an unprimeable number, because it can be changed into a prime (11263891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105217 + ... + 105323.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 211263890 is an apocalyptic number.

11263890 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 11263890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

11263890 is an abundant number, since it is smaller than the sum of its proper divisors (19762350).

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

11263890 is a wasteful number, since it uses less digits than its factorization.

11263890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

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

The square root of 11263890 is about 3356.1719264662. The cubic root of 11263890 is about 224.1624167523.

It can be divided in two parts, 11 and 263890, that added together give a triangular number (263901 = T726).

The spelling of 11263890 in words is "eleven million, two hundred sixty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 107 110 121 145 165 174 214 242 290 319 321 330 363 435 535 605 638 642 726 870 957 1070 1177 1210 1595 1605 1815 1914 2354 3103 3190 3210 3509 3531 3630 4785 5885 6206 7018 7062 9309 9570 10527 11770 12947 15515 17545 17655 18618 21054 25894 31030 34133 35090 35310 38841 46545 52635 64735 68266 77682 93090 102399 105270 129470 170665 194205 204798 341330 375463 388410 511995 750926 1023990 1126389 1877315 2252778 3754630 5631945 11263890