[go: up one dir, main page]

Search a number
-
+
10830336 = 29311641
BaseRepresentation
bin101001010100…
…001000000000
3202101020102120
4221110020000
510233032321
61024044240
7161025216
oct51241000
922336376
1010830336
116127aa0
123763680
1323227aa
14161ccb6
15e3dec6
hexa54200

10830336 has 80 divisors (see below), whose sum is σ = 31524768. Its totient is φ = 3276800.

The previous prime is 10830301. The next prime is 10830359. The reversal of 10830336 is 63303801.

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

It is a nialpdrome in base 16.

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, 16576 + ... + 17216.

Almost surely, 210830336 is an apocalyptic number.

10830336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10830336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15762384).

10830336 is an abundant number, since it is smaller than the sum of its proper divisors (20694432).

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

10830336 is an equidigital number, since it uses as much as digits as its factorization.

10830336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 10830336 is about 3290.9475839035. The cubic root of 10830336 is about 221.2486571466.

The spelling of 10830336 in words is "ten million, eight hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 641 704 768 1056 1282 1408 1536 1923 2112 2564 2816 3846 4224 5128 5632 7051 7692 8448 10256 14102 15384 16896 20512 21153 28204 30768 41024 42306 56408 61536 82048 84612 112816 123072 164096 169224 225632 246144 328192 338448 451264 492288 676896 902528 984576 1353792 1805056 2707584 3610112 5415168 10830336