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2023032 = 233117997
BaseRepresentation
bin111101101111001111000
310210210002010
413231321320
51004214112
6111205520
723124024
oct7557170
93723063
102023032
111161a30
128168a0
1355aa7b
143a9384
1529e63c
hex1ede78

2023032 has 64 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 599040.

The previous prime is 2023031. The next prime is 2023061. The reversal of 2023032 is 2303202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2022999 and 2023017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023031) 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, 20808 + ... + 20904.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

22023032 is an apocalyptic number.

2023032 is a gapful number since it is divisible by the number (22) 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 2023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822400).

2023032 is an abundant number, since it is smaller than the sum of its proper divisors (3621768).

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

2023032 is a wasteful number, since it uses less digits than its factorization.

2023032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2023032 is about 1422.3332942739. Note that the first 3 decimals coincide. The cubic root of 2023032 is about 126.4739019312.

Adding to 2023032 its reverse (2303202), we get a palindrome (4326234).

The spelling of 2023032 in words is "two million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 97 132 158 194 237 264 291 316 388 474 582 632 776 869 948 1067 1164 1738 1896 2134 2328 2607 3201 3476 4268 5214 6402 6952 7663 8536 10428 12804 15326 20856 22989 25608 30652 45978 61304 84293 91956 168586 183912 252879 337172 505758 674344 1011516 2023032