Search a number
-
+
2117320 = 235431231
BaseRepresentation
bin1000000100111011001000
310222120102021
420010323020
51020223240
6113214224
723665642
oct10047310
93876367
102117320
111216857
12861374
1359196a
143d1892
152bc54a
hex204ec8

2117320 has 32 divisors (see below), whose sum is σ = 4878720. Its totient is φ = 826560.

The previous prime is 2117317. The next prime is 2117321. The reversal of 2117320 is 237112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2117294 and 2117303.

It is not an unprimeable number, because it can be changed into a prime (2117321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1105 + ... + 2335.

It is an arithmetic number, because the mean of its divisors is an integer number (152460).

22117320 is an apocalyptic number.

2117320 is a gapful number since it is divisible by the number (20) 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 2117320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439360).

2117320 is an abundant number, since it is smaller than the sum of its proper divisors (2761400).

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

2117320 is a wasteful number, since it uses less digits than its factorization.

2117320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 2117320 is about 1455.1013710391. The cubic root of 2117320 is about 128.4090106674.

The spelling of 2117320 in words is "two million, one hundred seventeen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1231 1720 2462 4924 6155 9848 12310 24620 49240 52933 105866 211732 264665 423464 529330 1058660 2117320