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11278296 = 2332312163
BaseRepresentation
bin101011000001…
…011111011000
3210012222220200
4223001133120
510341401141
61041422200
7164602221
oct53013730
923188820
1011278296
116403607
12393a960
13244b663
1416d8248
15ecbab6
hexac17d8

11278296 has 72 divisors (see below), whose sum is σ = 31756140. Its totient is φ = 3615840.

The previous prime is 11278283. The next prime is 11278297. The reversal of 11278296 is 69287211.

11278296 is digitally balanced in base 2 and base 4, because in such bases 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11278296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11278297) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69111 + ... + 69273.

Almost surely, 211278296 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 11278296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878070).

11278296 is an abundant number, since it is smaller than the sum of its proper divisors (20477844).

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

11278296 is a wasteful number, since it uses less digits than its factorization.

11278296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 199 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 11278296 is about 3358.3174358598. The cubic root of 11278296 is about 224.2579405323.

The spelling of 11278296 in words is "eleven million, two hundred seventy-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 163 186 248 279 326 372 489 558 652 744 961 978 1116 1304 1467 1922 1956 2232 2883 2934 3844 3912 5053 5766 5868 7688 8649 10106 11532 11736 15159 17298 20212 23064 30318 34596 40424 45477 60636 69192 90954 121272 156643 181908 313286 363816 469929 626572 939858 1253144 1409787 1879716 2819574 3759432 5639148 11278296