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2117668 = 227531427
BaseRepresentation
bin1000000101000000100100
310222120220011
420011000210
51020231133
6113220004
723666650
oct10050044
93876804
102117668
111217043
12861604
13591b77
143d1a60
152bc6cd
hex205024

2117668 has 24 divisors (see below), whose sum is σ = 4318272. Its totient is φ = 889824.

The previous prime is 2117663. The next prime is 2117671. The reversal of 2117668 is 8667112.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2117663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 771 + ... + 2197.

It is an arithmetic number, because the mean of its divisors is an integer number (179928).

22117668 is an apocalyptic number.

2117668 is a gapful number since it is divisible by the number (28) 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 2117668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159136).

2117668 is an abundant number, since it is smaller than the sum of its proper divisors (2200604).

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

2117668 is a wasteful number, since it uses less digits than its factorization.

2117668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1489 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 2117668 is about 1455.2209454238. The cubic root of 2117668 is about 128.4160453287.

It can be divided in two parts, 21 and 17668, that added together give a square (17689 = 1332).

The spelling of 2117668 in words is "two million, one hundred seventeen thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 1427 1484 2854 5708 9989 19978 39956 75631 151262 302524 529417 1058834 2117668