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11056440 = 2335199463
BaseRepresentation
bin101010001011…
…010100111000
3202210201120210
4222023110320
510312301230
61032551120
7162656343
oct52132470
922721523
1011056440
11627195a
1238524a0
1323a1695
14167b45a
15e85eb0
hexa8b538

11056440 has 64 divisors (see below), whose sum is σ = 33408000. Its totient is φ = 2927232.

The previous prime is 11056439. The next prime is 11056447. The reversal of 11056440 is 4465011.

11056440 = T45 + T46 + ... + T404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11056447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23649 + ... + 24111.

It is an arithmetic number, because the mean of its divisors is an integer number (522000).

Almost surely, 211056440 is an apocalyptic number.

11056440 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 11056440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704000).

11056440 is an abundant number, since it is smaller than the sum of its proper divisors (22351560).

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

11056440 is a wasteful number, since it uses less digits than its factorization.

11056440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 11056440 is about 3325.1225541324. The cubic root of 11056440 is about 222.7777283493. Note that the first 4 decimals are identical.

The spelling of 11056440 in words is "eleven million, fifty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 463 597 796 926 995 1194 1389 1592 1852 1990 2315 2388 2778 2985 3704 3980 4630 4776 5556 5970 6945 7960 9260 11112 11940 13890 18520 23880 27780 55560 92137 184274 276411 368548 460685 552822 737096 921370 1105644 1382055 1842740 2211288 2764110 3685480 5528220 11056440