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10491984 = 2433149163
BaseRepresentation
bin101000000001…
…100001010000
3201202001022000
4220001201100
510141220414
61012514000
7155115606
oct50014120
921661260
1010491984
115a16868
12361b900
132234799
141571876
15dc3b09
hexa01850

10491984 has 80 divisors (see below), whose sum is σ = 30504000. Its totient is φ = 3452544.

The previous prime is 10491977. The next prime is 10491989. The reversal of 10491984 is 48919401.

It is a super-2 number, since 2×104919842 = 220163456512512, which contains 22 as substring.

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10491989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64287 + ... + 64449.

It is an arithmetic number, because the mean of its divisors is an integer number (381300).

Almost surely, 210491984 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 10491984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252000).

10491984 is an abundant number, since it is smaller than the sum of its proper divisors (20012016).

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

10491984 is a wasteful number, since it uses less digits than its factorization.

10491984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

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

The square root of 10491984 is about 3239.1332173901. The cubic root of 10491984 is about 218.9202186406.

The spelling of 10491984 in words is "ten million, four hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 149 163 216 298 326 432 447 489 596 652 894 978 1192 1304 1341 1467 1788 1956 2384 2608 2682 2934 3576 3912 4023 4401 5364 5868 7152 7824 8046 8802 10728 11736 16092 17604 21456 23472 24287 32184 35208 48574 64368 70416 72861 97148 145722 194296 218583 291444 388592 437166 582888 655749 874332 1165776 1311498 1748664 2622996 3497328 5245992 10491984