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2091024 = 2432131117
BaseRepresentation
bin111111110100000010000
310221020100100
413332200100
51013403044
6112452400
723526165
oct7764020
93836310
102091024
1111a9021
1284a100
135829c0
143c606c
152b4869
hex1fe810

2091024 has 60 divisors (see below), whose sum is σ = 6307756. Its totient is φ = 642816.

The previous prime is 2090989. The next prime is 2091053. The reversal of 2091024 is 4201902.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 1904400 = 432^2 + 1380^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2090988 and 2091006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1314 + ... + 2430.

22091024 is an apocalyptic number.

2091024 is a gapful number since it is divisible by the number (24) 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 2091024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153878).

2091024 is an abundant number, since it is smaller than the sum of its proper divisors (4216732).

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

2091024 is a wasteful number, since it uses less digits than its factorization.

2091024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2091024 is about 1446.0373439161. The cubic root of 2091024 is about 127.8752038880.

Adding to 2091024 its reverse (4201902), we get a palindrome (6292926).

The spelling of 2091024 in words is "two million, ninety-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1117 1872 2234 3351 4468 6702 8936 10053 13404 14521 17872 20106 26808 29042 40212 43563 53616 58084 80424 87126 116168 130689 160848 174252 232336 261378 348504 522756 697008 1045512 2091024