Search a number
-
+
20846496 = 25311191039
BaseRepresentation
bin100111110000…
…1011110100000
31110020010000110
41033201132200
520314041441
62022451320
7342122646
oct117413640
943203013
1020846496
1110849310
126b93b40
13441b808
142aa9196
151c6bb16
hex13e17a0

20846496 has 96 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 5978880.

The previous prime is 20846461. The next prime is 20846549. The reversal of 20846496 is 69464802.

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

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, 19545 + ... + 20583.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 220846496 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 20846496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

20846496 is an abundant number, since it is smaller than the sum of its proper divisors (42052704).

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

20846496 is a wasteful number, since it uses less digits than its factorization.

20846496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 20846496 is about 4565.7963160877. The cubic root of 20846496 is about 275.2185414315.

The spelling of 20846496 in words is "twenty million, eight hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1039 1056 1254 1672 1824 2078 2508 3117 3344 4156 5016 6234 6688 8312 10032 11429 12468 16624 19741 20064 22858 24936 33248 34287 39482 45716 49872 59223 68574 78964 91432 99744 118446 137148 157928 182864 217151 236892 274296 315856 365728 434302 473784 548592 631712 651453 868604 947568 1097184 1302906 1737208 1895136 2605812 3474416 5211624 6948832 10423248 20846496