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2039136 = 253111931
BaseRepresentation
bin111110001110101100000
310211121011120
413301311200
51010223021
6111412240
723222001
oct7616540
93747146
102039136
111173040
12824080
135651b8
143b11a8
152a42c6
hex1f1d60

2039136 has 48 divisors (see below), whose sum is σ = 5842368. Its totient is φ = 617600.

The previous prime is 2039131. The next prime is 2039143. The reversal of 2039136 is 6319302.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 2021.

It is an arithmetic number, because the mean of its divisors is an integer number (121716).

22039136 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 2039136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921184).

2039136 is an abundant number, since it is smaller than the sum of its proper divisors (3803232).

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

2039136 is a wasteful number, since it uses less digits than its factorization.

2039136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 2039136 is about 1427.9831931784. The cubic root of 2039136 is about 126.8086066597.

It can be divided in two parts, 203 and 9136, that added together give a palindrome (9339).

The spelling of 2039136 in words is "two million, thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1931 3862 5793 7724 11586 15448 21241 23172 30896 42482 46344 61792 63723 84964 92688 127446 169928 185376 254892 339856 509784 679712 1019568 2039136