Search a number
-
+
2117076 = 2231341331
BaseRepresentation
bin1000000100110111010100
310222120002020
420010313110
51020221301
6113213140
723665143
oct10046724
93876066
102117076
111216655
128611b0
13591810
143d175a
152bc436
hex204dd4

2117076 has 48 divisors (see below), whose sum is σ = 5466048. Its totient is φ = 633600.

The previous prime is 2117053. The next prime is 2117077. The reversal of 2117076 is 6707112.

2117076 = T185 + T186 + ... + T266.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117077) 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, 6231 + ... + 6561.

It is an arithmetic number, because the mean of its divisors is an integer number (113876).

22117076 is an apocalyptic number.

2117076 is a gapful number since it is divisible by the number (26) 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 2117076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733024).

2117076 is an abundant number, since it is smaller than the sum of its proper divisors (3348972).

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

2117076 is a wasteful number, since it uses less digits than its factorization.

2117076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 2117076 is about 1455.0175256676. The cubic root of 2117076 is about 128.4040778589.

The spelling of 2117076 in words is "two million, one hundred seventeen thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 331 492 533 662 993 1066 1324 1599 1986 2132 3198 3972 4303 6396 8606 12909 13571 17212 25818 27142 40713 51636 54284 81426 162852 176423 352846 529269 705692 1058538 2117076