Search a number
-
+
2117340 = 223451307
BaseRepresentation
bin1000000100111011011100
310222120110000
420010323130
51020223330
6113214300
723666001
oct10047334
93876400
102117340
111216875
12861390
13591984
143d18a8
152bc560
hex204edc

2117340 has 60 divisors (see below), whose sum is σ = 6647256. Its totient is φ = 564192.

The previous prime is 2117321. The next prime is 2117351. The reversal of 2117340 is 437112.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 967 + ... + 2273.

22117340 is an apocalyptic number.

2117340 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 2117340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323628).

2117340 is an abundant number, since it is smaller than the sum of its proper divisors (4529916).

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

2117340 is a wasteful number, since it uses less digits than its factorization.

2117340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2117340 is about 1455.1082433963. The cubic root of 2117340 is about 128.4094149791.

The spelling of 2117340 in words is "two million, one hundred seventeen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1307 1620 2614 3921 5228 6535 7842 11763 13070 15684 19605 23526 26140 35289 39210 47052 58815 70578 78420 105867 117630 141156 176445 211734 235260 352890 423468 529335 705780 1058670 2117340