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11278064 = 247101997
BaseRepresentation
bin101011000001…
…011011110000
3210012222121002
4223001123300
510341344224
61041421132
7164601440
oct53013360
923188532
1011278064
116403416
12393a7a8
13244b515
1416d8120
15ecb9ae
hexac16f0

11278064 has 40 divisors (see below), whose sum is σ = 25245408. Its totient is φ = 4780800.

The previous prime is 11278061. The next prime is 11278067. The reversal of 11278064 is 46087211.

It is an interprime number because it is at equal distance from previous prime (11278061) and next prime (11278067).

It is a super-3 number, since 3×112780643 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11278061) 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, 10814 + ... + 11810.

Almost surely, 211278064 is an apocalyptic number.

11278064 is a gapful number since it is divisible by the number (14) 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 11278064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12622704).

11278064 is an abundant number, since it is smaller than the sum of its proper divisors (13967344).

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

11278064 is a wasteful number, since it uses less digits than its factorization.

11278064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 11278064 is about 3358.2828945757. The cubic root of 11278064 is about 224.2564028237.

The spelling of 11278064 in words is "eleven million, two hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 101 112 202 404 707 808 997 1414 1616 1994 2828 3988 5656 6979 7976 11312 13958 15952 27916 55832 100697 111664 201394 402788 704879 805576 1409758 1611152 2819516 5639032 11278064