Search a number
-
+
1823320992 = 253171139887
BaseRepresentation
bin110110010101101…
…1010101110100000
311201001220022012010
41230223122232200
512213232232432
6500532032520
763116654433
oct15453325640
94631808163
101823320992
11856243059
1242a762740
13230996c7c
1413422781a
15aa1133cc
hex6cadaba0

1823320992 has 96 divisors (see below), whose sum is σ = 5113124352. Its totient is φ = 566902784.

The previous prime is 1823320979. The next prime is 1823321041. The reversal of 1823320992 is 2990233281.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 1823320992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179473 + ... + 189359.

It is an arithmetic number, because the mean of its divisors is an integer number (53261712).

Almost surely, 21823320992 is an apocalyptic number.

1823320992 is a gapful number since it is divisible by the number (12) 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 1823320992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556562176).

1823320992 is an abundant number, since it is smaller than the sum of its proper divisors (3289803360).

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

1823320992 is a wasteful number, since it uses less digits than its factorization.

1823320992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1823320992 is about 42700.3629024391. The cubic root of 1823320992 is about 1221.6713168176.

The spelling of 1823320992 in words is "one billion, eight hundred twenty-three million, three hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 113 136 204 226 272 339 408 452 544 678 816 904 1356 1632 1808 1921 2712 3616 3842 5424 5763 7684 9887 10848 11526 15368 19774 23052 29661 30736 39548 46104 59322 61472 79096 92208 118644 158192 168079 184416 237288 316384 336158 474576 504237 672316 949152 1008474 1117231 1344632 2016948 2234462 2689264 3351693 4033896 4468924 5378528 6703386 8067792 8937848 13406772 16135584 17875696 18992927 26813544 35751392 37985854 53627088 56978781 75971708 107254176 113957562 151943416 227915124 303886832 455830248 607773664 911660496 1823320992