Search a number
-
+
10967984 = 243797191
BaseRepresentation
bin101001110101…
…101110110000
3202122020020122
4221311232300
510301433414
61031025412
7162140426
oct51655660
922566218
1010967984
116211455
12380b268
132370341
141657116
15e69b8e
hexa75bb0

10967984 has 40 divisors (see below), whose sum is σ = 22165248. Its totient is φ = 5253120.

The previous prime is 10967981. The next prime is 10967993. The reversal of 10967984 is 48976901.

It is not an unprimeable number, because it can be changed into a prime (10967981) 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 7 ways as a sum of consecutive naturals, for example, 57329 + ... + 57519.

Almost surely, 210967984 is an apocalyptic number.

It is an amenable number.

10967984 is an abundant number, since it is smaller than the sum of its proper divisors (11197264).

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

10967984 is a wasteful number, since it uses less digits than its factorization.

10967984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 10967984 is about 3311.7946796261. The cubic root of 10967984 is about 222.1820328803.

The spelling of 10967984 in words is "ten million, nine hundred sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 37 74 97 148 191 194 296 382 388 592 764 776 1528 1552 3056 3589 7067 7178 14134 14356 18527 28268 28712 37054 56536 57424 74108 113072 148216 296432 685499 1370998 2741996 5483992 10967984