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11855380 = 2251015869
BaseRepresentation
bin101101001110…
…011000010100
3211022022112011
4231032120110
511013333010
61102034004
7202524535
oct55163024
924268464
1011855380
116768139
123b78904
1325c1224
14180868c
151092a8a
hexb4e614

11855380 has 24 divisors (see below), whose sum is σ = 25147080. Its totient is φ = 4694400.

The previous prime is 11855359. The next prime is 11855381. The reversal of 11855380 is 8355811.

It can be written as a sum of positive squares in 4 ways, for example, as 1628176 + 10227204 = 1276^2 + 3198^2 .

It is a super-4 number, since 4×118553804 (a number of 29 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11855381) 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 7 ways as a sum of consecutive naturals, for example, 915 + ... + 4954.

It is an arithmetic number, because the mean of its divisors is an integer number (1047795).

Almost surely, 211855380 is an apocalyptic number.

11855380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11855380 is an abundant number, since it is smaller than the sum of its proper divisors (13291700).

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

11855380 is a wasteful number, since it uses less digits than its factorization.

11855380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 11855380 is about 3443.1642423794. The cubic root of 11855380 is about 228.0194145774.

The spelling of 11855380 in words is "eleven million, eight hundred fifty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 5869 11738 23476 29345 58690 117380 592769 1185538 2371076 2963845 5927690 11855380