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11263380 = 22351311433
BaseRepresentation
bin101010111101…
…110110010100
3210012020110020
4222331312110
510340412010
61041225140
7164510562
oct52756624
923166406
1011263380
1163a3387
1239321b0
13244492b
1416d2a32
15ec7470
hexabdd94

11263380 has 48 divisors (see below), whose sum is σ = 31800384. Its totient is φ = 2978560.

The previous prime is 11263379. The next prime is 11263381. The reversal of 11263380 is 8336211.

It is an interprime number because it is at equal distance from previous prime (11263379) and next prime (11263381).

It is a self number, because there is not a number n which added to its sum of digits gives 11263380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11263381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7144 + ... + 8576.

It is an arithmetic number, because the mean of its divisors is an integer number (662508).

Almost surely, 211263380 is an apocalyptic number.

11263380 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 11263380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15900192).

11263380 is an abundant number, since it is smaller than the sum of its proper divisors (20537004).

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

11263380 is a wasteful number, since it uses less digits than its factorization.

11263380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11263380 is about 3356.0959461851. The cubic root of 11263380 is about 224.1590335351.

Adding to 11263380 its reverse (8336211), we get a palindrome (19599591).

The spelling of 11263380 in words is "eleven million, two hundred sixty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1433 1572 1965 2620 2866 3930 4299 5732 7165 7860 8598 14330 17196 21495 28660 42990 85980 187723 375446 563169 750892 938615 1126338 1877230 2252676 2815845 3754460 5631690 11263380