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11059400 = 2352112457
BaseRepresentation
bin101010001100…
…000011001000
3202210212122102
4222030003020
510312400100
61033012532
7163001102
oct52140310
922725572
1011059400
116274100
123854148
1323a2b31
14167c572
15e86cd5
hexa8c0c8

11059400 has 72 divisors (see below), whose sum is σ = 28325010. Its totient is φ = 4012800.

The previous prime is 11059379. The next prime is 11059441. The reversal of 11059400 is 495011.

It can be written as a sum of positive squares in 3 ways, for example, as 9897316 + 1162084 = 3146^2 + 1078^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23972 + ... + 24428.

Almost surely, 211059400 is an apocalyptic number.

11059400 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 11059400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14162505).

11059400 is an abundant number, since it is smaller than the sum of its proper divisors (17265610).

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

11059400 is a wasteful number, since it uses less digits than its factorization.

11059400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 11059400 is about 3325.5676207228. The cubic root of 11059400 is about 222.7976070576.

The spelling of 11059400 in words is "eleven million, fifty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 457 484 550 605 914 968 1100 1210 1828 2200 2285 2420 3025 3656 4570 4840 5027 6050 9140 10054 11425 12100 18280 20108 22850 24200 25135 40216 45700 50270 55297 91400 100540 110594 125675 201080 221188 251350 276485 442376 502700 552970 1005400 1105940 1382425 2211880 2764850 5529700 11059400