Search a number
-
+
1004066096 = 241119714229
BaseRepresentation
bin111011110110001…
…101010100110000
32120222022211202012
4323312031110300
54024020103341
6243344342052
733611264255
oct7366152460
92528284665
101004066096
114758507a0
12240314928
13130031b67
14974c942c
155d2360eb
hex3bd8d530

1004066096 has 80 divisors (see below), whose sum is σ = 2265926400. Its totient is φ = 426182400.

The previous prime is 1004066093. The next prime is 1004066113. The reversal of 1004066096 is 6906604001.

It is not an unprimeable number, because it can be changed into a prime (1004066093) 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, 235310 + ... + 239538.

It is an arithmetic number, because the mean of its divisors is an integer number (28324080).

Almost surely, 21004066096 is an apocalyptic number.

1004066096 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 1004066096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132963200).

1004066096 is an abundant number, since it is smaller than the sum of its proper divisors (1261860304).

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

1004066096 is a wasteful number, since it uses less digits than its factorization.

1004066096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1004066096 is about 31687.0020039763. The cubic root of 1004066096 is about 1001.3535324566.

The spelling of 1004066096 in words is "one billion, four million, sixty-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 71 76 88 142 152 176 209 284 304 418 568 781 836 1136 1349 1562 1672 2698 3124 3344 4229 5396 6248 8458 10792 12496 14839 16916 21584 29678 33832 46519 59356 67664 80351 93038 118712 160702 186076 237424 300259 321404 372152 600518 642808 744304 883861 1201036 1285616 1767722 2402072 3302849 3535444 4804144 5704921 6605698 7070888 11409842 13211396 14141776 22819684 26422792 45639368 52845584 62754131 91278736 125508262 251016524 502033048 1004066096