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11263840 = 255789113
BaseRepresentation
bin101010111101…
…111101100000
3210012021002021
4222331331200
510340420330
61041231224
7164512120
oct52757540
923167067
1011263840
1163a3765
123932514
132444bc3
1416d2c80
15ec767a
hexabdf60

11263840 has 96 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 3784704.

The previous prime is 11263829. The next prime is 11263841. The reversal of 11263840 is 4836211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11263841) 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, 99624 + ... + 99736.

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

Almost surely, 211263840 is an apocalyptic number.

11263840 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 11263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

11263840 is an abundant number, since it is smaller than the sum of its proper divisors (19762400).

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

11263840 is a wasteful number, since it uses less digits than its factorization.

11263840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 11263840 is about 3356.1644774951. The cubic root of 11263840 is about 224.1620850689.

The spelling of 11263840 in words is "eleven million, two hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 89 112 113 140 160 178 224 226 280 356 445 452 560 565 623 712 791 890 904 1120 1130 1246 1424 1582 1780 1808 2260 2492 2848 3115 3164 3560 3616 3955 4520 4984 6230 6328 7120 7910 9040 9968 10057 12460 12656 14240 15820 18080 19936 20114 24920 25312 31640 40228 49840 50285 63280 70399 80456 99680 100570 126560 140798 160912 201140 281596 321824 351995 402280 563192 703990 804560 1126384 1407980 1609120 2252768 2815960 5631920 11263840