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2158920 = 233351999
BaseRepresentation
bin1000001111000101001000
311001200111000
420033011020
51023041140
6114135000
724231141
oct10170510
94050430
102158920
111245035
12881460
135a788a
14402ac8
152c9a30
hex20f148

2158920 has 64 divisors (see below), whose sum is σ = 7200000. Its totient is φ = 575424.

The previous prime is 2158909. The next prime is 2158921. The reversal of 2158920 is 298512.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2158921) 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, 81 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (112500).

22158920 is an apocalyptic number.

2158920 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 2158920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600000).

2158920 is an abundant number, since it is smaller than the sum of its proper divisors (5041080).

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

2158920 is a wasteful number, since it uses less digits than its factorization.

2158920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2158920 is about 1469.3263762691. The cubic root of 2158920 is about 129.2445334633.

It can be divided in two parts, 21589 and 20, that added together give a square (21609 = 1472).

The spelling of 2158920 in words is "two million, one hundred fifty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1999 3998 5997 7996 9995 11994 15992 17991 19990 23988 29985 35982 39980 47976 53973 59970 71964 79960 89955 107946 119940 143928 179910 215892 239880 269865 359820 431784 539730 719640 1079460 2158920