Search a number
-
+
11870064 = 24354371
BaseRepresentation
bin101101010001…
…111101110000
3211100001200000
4231101331300
511014320224
61102230000
7202615413
oct55217560
924301600
1011870064
116778178
123b85300
1325c7b0b
14180db7a
1510970c9
hexb51f70

11870064 has 120 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 3810240.

The previous prime is 11870017. The next prime is 11870069. The reversal of 11870064 is 46007811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11870069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167149 + ... + 167219.

Almost surely, 211870064 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 11870064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

11870064 is an abundant number, since it is smaller than the sum of its proper divisors (23877648).

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

11870064 is an equidigital number, since it uses as much as digits as its factorization.

11870064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11870064 is about 3445.2959234295. The cubic root of 11870064 is about 228.1135168799.

Adding to 11870064 its reverse (46007811), we get a palindrome (57877875).

The spelling of 11870064 in words is "eleven million, eight hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 71 72 81 86 108 129 142 144 162 172 213 216 243 258 284 324 344 387 426 432 486 516 568 639 648 688 774 852 972 1032 1136 1161 1278 1296 1548 1704 1917 1944 2064 2322 2556 3053 3096 3408 3483 3834 3888 4644 5112 5751 6106 6192 6966 7668 9159 9288 10224 10449 11502 12212 13932 15336 17253 18318 18576 20898 23004 24424 27477 27864 30672 34506 36636 41796 46008 48848 54954 55728 69012 73272 82431 83592 92016 109908 138024 146544 164862 167184 219816 247293 276048 329724 439632 494586 659448 741879 989172 1318896 1483758 1978344 2967516 3956688 5935032 11870064