Search a number
-
+
2098032 = 243109401
BaseRepresentation
bin1000000000001101110000
310221120221220
420000031300
51014114112
6112545040
723555466
oct10001560
93846856
102098032
111203312
12852180
13585c51
143c8836
152b698c
hex200370

2098032 has 40 divisors (see below), whose sum is σ = 5483280. Its totient is φ = 691200.

The previous prime is 2098027. The next prime is 2098051. The reversal of 2098032 is 2308902.

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

It is a junction number, because it is equal to n+sod(n) for n = 2097993 and 2098011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5032 + ... + 5432.

It is an arithmetic number, because the mean of its divisors is an integer number (137082).

22098032 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 2098032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741640).

2098032 is an abundant number, since it is smaller than the sum of its proper divisors (3385248).

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

2098032 is a wasteful number, since it uses less digits than its factorization.

2098032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2098032 is about 1448.4584909482. The cubic root of 2098032 is about 128.0179011422.

It can be divided in two parts, 20980 and 32, that added together give a palindrome (21012).

The spelling of 2098032 in words is "two million, ninety-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 401 436 654 802 872 1203 1308 1604 1744 2406 2616 3208 4812 5232 6416 9624 19248 43709 87418 131127 174836 262254 349672 524508 699344 1049016 2098032