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11870272 = 26312193
BaseRepresentation
bin101101010010…
…000001000000
3211100001221201
4231102001000
511014322042
61102230544
7202616131
oct55220100
924301851
1011870272
116778347
123b85454
1325c7c3b
14180dc88
1510971b7
hexb52040

11870272 has 42 divisors (see below), whose sum is σ = 24465534. Its totient is φ = 5713920.

The previous prime is 11870249. The next prime is 11870291. The reversal of 11870272 is 27207811.

It can be written as a sum of positive squares in only one way, i.e., 8856576 + 3013696 = 2976^2 + 1736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11870272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61408 + ... + 61600.

Almost surely, 211870272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12232767).

11870272 is an abundant number, since it is smaller than the sum of its proper divisors (12595262).

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

11870272 is an equidigital number, since it uses as much as digits as its factorization.

11870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 11870272 is about 3445.3261093836. The cubic root of 11870272 is about 228.1148492888.

The spelling of 11870272 in words is "eleven million, eight hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 193 248 386 496 772 961 992 1544 1922 1984 3088 3844 5983 6176 7688 11966 12352 15376 23932 30752 47864 61504 95728 185473 191456 370946 382912 741892 1483784 2967568 5935136 11870272