Search a number
-
+
2086920 = 23325111731
BaseRepresentation
bin111111101100000001000
310221000201100
413331200020
51013240140
6112421400
723511213
oct7754010
93830640
102086920
1111a5a30
12847860
13580b84
143c477a
152b3530
hex1fd808

2086920 has 192 divisors, whose sum is σ = 8087040. Its totient is φ = 460800.

The previous prime is 2086907. The next prime is 2086933. The reversal of 2086920 is 296802.

It is an interprime number because it is at equal distance from previous prime (2086907) and next prime (2086933).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67305 + ... + 67335.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

22086920 is an apocalyptic number.

2086920 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 2086920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043520).

2086920 is an abundant number, since it is smaller than the sum of its proper divisors (6000120).

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

2086920 is a wasteful number, since it uses less digits than its factorization.

2086920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2086920 is about 1444.6175964594. The cubic root of 2086920 is about 127.7914899518.

The spelling of 2086920 in words is "two million, eighty-six thousand, nine hundred twenty".