[go: up one dir, main page]

Search a number
-
+
9005696 = 27719232
BaseRepresentation
bin100010010110…
…101010000000
3121221112111022
4202112222000
54301140241
6521005012
7136355450
oct42265200
917845438
109005696
1150a1127
123023768
131b3411b
1412a5d60
15bcd54b
hex896a80

9005696 has 96 divisors (see below), whose sum is σ = 22562400. Its totient is φ = 3497472.

The previous prime is 9005693. The next prime is 9005713. The reversal of 9005696 is 6965009.

It is a super-2 number, since 2×90056962 = 162205120888832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9005693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391541 + ... + 391563.

It is an arithmetic number, because the mean of its divisors is an integer number (235025).

Almost surely, 29005696 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 9005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11281200).

9005696 is an abundant number, since it is smaller than the sum of its proper divisors (13556704).

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

9005696 is a wasteful number, since it uses less digits than its factorization.

9005696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 9005696 is about 3000.9491831752. The cubic root of 9005696 is about 208.0522551156.

The spelling of 9005696 in words is "nine million, five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 23 28 32 38 46 56 64 76 92 112 128 133 152 161 184 224 266 304 322 368 437 448 529 532 608 644 736 874 896 1058 1064 1216 1288 1472 1748 2116 2128 2432 2576 2944 3059 3496 3703 4232 4256 5152 6118 6992 7406 8464 8512 10051 10304 12236 13984 14812 16928 17024 20102 20608 24472 27968 29624 33856 40204 48944 55936 59248 67712 70357 80408 97888 118496 140714 160816 195776 236992 281428 321632 391552 473984 562856 643264 1125712 1286528 2251424 4502848 9005696