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11055480 = 2335181509
BaseRepresentation
bin101010001011…
…000101111000
3202210200021020
4222023011320
510312233410
61032542440
7162653502
oct52130570
922720236
1011055480
116271167
123851a20
1323a1107
14167ad72
15e85a70
hexa8b178

11055480 has 64 divisors (see below), whose sum is σ = 33415200. Its totient is φ = 2926080.

The previous prime is 11055463. The next prime is 11055487. The reversal of 11055480 is 8455011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11055480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11055487) 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, 21466 + ... + 21974.

Almost surely, 211055480 is an apocalyptic number.

11055480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11055480 is the 2715-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11055480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

11055480 is an abundant number, since it is smaller than the sum of its proper divisors (22359720).

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

11055480 is a wasteful number, since it uses less digits than its factorization.

11055480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 11055480 is about 3324.9781954172. The cubic root of 11055480 is about 222.7712804387.

The spelling of 11055480 in words is "eleven million, fifty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 509 543 724 905 1018 1086 1448 1527 1810 2036 2172 2545 2715 3054 3620 4072 4344 5090 5430 6108 7240 7635 10180 10860 12216 15270 20360 21720 30540 61080 92129 184258 276387 368516 460645 552774 737032 921290 1105548 1381935 1842580 2211096 2763870 3685160 5527740 11055480