Search a number
-
+
11473264 = 2411194773
BaseRepresentation
bin101011110001…
…000101110000
3210120220100201
4223301011300
510414121024
61045524544
7166343515
oct53610560
923526321
1011473264
116527040
123a13754
1324b931a
14174930c
151019744
hexaf1170

11473264 has 80 divisors (see below), whose sum is σ = 26426880. Its totient is φ = 4769280.

The previous prime is 11473247. The next prime is 11473279. The reversal of 11473264 is 46237411.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 157132 + ... + 157204.

It is an arithmetic number, because the mean of its divisors is an integer number (330336).

Almost surely, 211473264 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 11473264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213440).

11473264 is an abundant number, since it is smaller than the sum of its proper divisors (14953616).

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

11473264 is a wasteful number, since it uses less digits than its factorization.

11473264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 11473264 is about 3387.2206895920. The cubic root of 11473264 is about 225.5428145050.

The spelling of 11473264 in words is "eleven million, four hundred seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 47 73 76 88 94 146 152 176 188 209 292 304 376 418 517 584 752 803 836 893 1034 1168 1387 1606 1672 1786 2068 2774 3212 3344 3431 3572 4136 5548 6424 6862 7144 8272 9823 11096 12848 13724 14288 15257 19646 22192 27448 30514 37741 39292 54896 61028 65189 75482 78584 122056 130378 150964 157168 244112 260756 301928 521512 603856 717079 1043024 1434158 2868316 5736632 11473264