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11239480 = 2357137293
BaseRepresentation
bin101010111000…
…000000111000
3210011000200001
4222320000320
510334130410
61040522344
7164351110
oct52700070
923130601
1011239480
11638742a
1239203b4
132436aa5
1416c8040
15ec033a
hexab8038

11239480 has 64 divisors (see below), whose sum is σ = 29211840. Its totient is φ = 3812352.

The previous prime is 11239477. The next prime is 11239483. The reversal of 11239480 is 8493211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11239477) and next prime (11239483).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11239483) 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, 38214 + ... + 38506.

It is an arithmetic number, because the mean of its divisors is an integer number (456435).

Almost surely, 211239480 is an apocalyptic number.

11239480 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 11239480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605920).

11239480 is an abundant number, since it is smaller than the sum of its proper divisors (17972360).

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

11239480 is a wasteful number, since it uses less digits than its factorization.

11239480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 11239480 is about 3352.5333704529. The cubic root of 11239480 is about 224.0003720232. Note that the first 3 decimals are identical.

The spelling of 11239480 in words is "eleven million, two hundred thirty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 274 280 293 548 586 685 959 1096 1172 1370 1465 1918 2051 2344 2740 2930 3836 4102 4795 5480 5860 7672 8204 9590 10255 11720 16408 19180 20510 38360 40141 41020 80282 82040 160564 200705 280987 321128 401410 561974 802820 1123948 1404935 1605640 2247896 2809870 5619740 11239480