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11886240 = 253524763
BaseRepresentation
bin101101010101…
…111010100000
3211100212212010
4231111322200
511020324430
61102432520
7203013522
oct55257240
924325763
1011886240
116789343
123b92740
1326022a2
141815a12
15109bcb0
hexb55ea0

11886240 has 48 divisors (see below), whose sum is σ = 37443168. Its totient is φ = 3169536.

The previous prime is 11886233. The next prime is 11886241. The reversal of 11886240 is 4268811.

11886240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11886198 and 11886207.

It is not an unprimeable number, because it can be changed into a prime (11886241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11902 + ... + 12861.

It is an arithmetic number, because the mean of its divisors is an integer number (780066).

Almost surely, 211886240 is an apocalyptic number.

11886240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11886240 is an abundant number, since it is smaller than the sum of its proper divisors (25556928).

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

11886240 is a wasteful number, since it uses less digits than its factorization.

11886240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24781 (or 24773 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11886240 is about 3447.6426728998. The cubic root of 11886240 is about 228.2170908607.

The spelling of 11886240 in words is "eleven million, eight hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 24763 49526 74289 99052 123815 148578 198104 247630 297156 371445 396208 495260 594312 742890 792416 990520 1188624 1485780 1981040 2377248 2971560 3962080 5943120 11886240