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2020032 = 26337167
BaseRepresentation
bin111101101001011000000
310210121222000
413231023000
51004120112
6111144000
723112210
oct7551300
93717860
102020032
11115a753
12815000
135595b1
143a8240
1529d7dc
hex1ed2c0

2020032 has 112 divisors (see below), whose sum is σ = 6827520. Its totient is φ = 573696.

The previous prime is 2020027. The next prime is 2020037. The reversal of 2020032 is 2300202.

It is an interprime number because it is at equal distance from previous prime (2020027) and next prime (2020037).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 2019996 and 2020023.

It is not an unprimeable number, because it can be changed into a prime (2020037) 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, 12013 + ... + 12179.

It is an arithmetic number, because the mean of its divisors is an integer number (60960).

22020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413760).

2020032 is an abundant number, since it is smaller than the sum of its proper divisors (4807488).

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

2020032 is a wasteful number, since it uses less digits than its factorization.

2020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2020032 is about 1421.2782978713. The cubic root of 2020032 is about 126.4113539980.

Adding to 2020032 its reverse (2300202), we get a palindrome (4320234).

The spelling of 2020032 in words is "two million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 167 168 189 192 216 224 252 288 334 336 378 432 448 501 504 576 668 672 756 864 1002 1008 1169 1336 1344 1503 1512 1728 2004 2016 2338 2672 3006 3024 3507 4008 4032 4509 4676 5344 6012 6048 7014 8016 9018 9352 10521 10688 12024 12096 14028 16032 18036 18704 21042 24048 28056 31563 32064 36072 37408 42084 48096 56112 63126 72144 74816 84168 96192 112224 126252 144288 168336 224448 252504 288576 336672 505008 673344 1010016 2020032