Search a number
-
+
9141984 = 25343527
BaseRepresentation
bin100010110111…
…111011100000
3122012110110000
4202313323200
54320020414
6523540000
7140464005
oct42677340
918173400
109141984
115184565
12308a600
131b81177
1412dd8ac
15c08b09
hex8b7ee0

9141984 has 60 divisors (see below), whose sum is σ = 26893944. Its totient is φ = 3046464.

The previous prime is 9141961. The next prime is 9142013. The reversal of 9141984 is 4891419.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 829 + ... + 4355.

Almost surely, 29141984 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 9141984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13446972).

9141984 is an abundant number, since it is smaller than the sum of its proper divisors (17751960).

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

9141984 is a wasteful number, since it uses less digits than its factorization.

9141984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3532 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 9141984 is about 3023.5713981978. The cubic root of 9141984 is about 209.0965267666.

The spelling of 9141984 in words is "nine million, one hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 3527 7054 10581 14108 21162 28216 31743 42324 56432 63486 84648 95229 112864 126972 169296 190458 253944 285687 338592 380916 507888 571374 761832 1015776 1142748 1523664 2285496 3047328 4570992 9141984