Search a number
-
+
2191504 = 247171151
BaseRepresentation
bin1000010111000010010000
311010100011211
420113002100
51030112004
6114545504
724425140
oct10270220
94110154
102191504
111267567
12898294
135b9663
14410920
152d4504
hex217090

2191504 has 40 divisors (see below), whose sum is σ = 5142528. Its totient is φ = 883200.

The previous prime is 2191493. The next prime is 2191507. The reversal of 2191504 is 4051912.

It is not an unprimeable number, because it can be changed into a prime (2191507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329 + ... + 2479.

22191504 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 2191504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571264).

2191504 is an abundant number, since it is smaller than the sum of its proper divisors (2951024).

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

2191504 is a wasteful number, since it uses less digits than its factorization.

2191504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 2191504 is about 1480.3729259886. The cubic root of 2191504 is about 129.8915071144.

The spelling of 2191504 in words is "two million, one hundred ninety-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1151 1904 2302 4604 8057 9208 16114 18416 19567 32228 39134 64456 78268 128912 136969 156536 273938 313072 547876 1095752 2191504