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11870304 = 253532333
BaseRepresentation
bin101101010010…
…000001100000
3211100001222220
4231102001200
511014322204
61102231040
7202616205
oct55220140
924301886
1011870304
116778376
123b85480
1325c7c64
14180dcac
1510971d9
hexb52060

11870304 has 48 divisors (see below), whose sum is σ = 31761072. Its totient is φ = 3880448.

The previous prime is 11870293. The next prime is 11870317. The reversal of 11870304 is 40307811.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3922 + ... + 6254.

It is an arithmetic number, because the mean of its divisors is an integer number (661689).

Almost surely, 211870304 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 11870304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880536).

11870304 is an abundant number, since it is smaller than the sum of its proper divisors (19890768).

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

11870304 is a wasteful number, since it uses less digits than its factorization.

11870304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11870304 is about 3445.3307533530. The cubic root of 11870304 is about 228.1150542733.

The spelling of 11870304 in words is "eleven million, eight hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2333 2544 4666 5088 6999 9332 13998 18664 27996 37328 55992 74656 111984 123649 223968 247298 370947 494596 741894 989192 1483788 1978384 2967576 3956768 5935152 11870304