Search a number
-
+
2037144 = 233174993
BaseRepresentation
bin111110001010110011000
310211111102210
413301112120
51010142034
6111355120
723213124
oct7612630
93744383
102037144
11117159a
12822aa0
13564315
143b0584
152a38e9
hex1f1598

2037144 has 32 divisors (see below), whose sum is σ = 5393520. Its totient is φ = 638976.

The previous prime is 2037131. The next prime is 2037149. The reversal of 2037144 is 4417302.

It is a self number, because there is not a number n which added to its sum of digits gives 2037144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2037149) 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, 2089 + ... + 2904.

22037144 is an apocalyptic number.

2037144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2037144 is an abundant number, since it is smaller than the sum of its proper divisors (3356376).

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

2037144 is a wasteful number, since it uses less digits than its factorization.

2037144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2037144 is about 1427.2855355534. The cubic root of 2037144 is about 126.7673007596.

The spelling of 2037144 in words is "two million, thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 4993 9986 14979 19972 29958 39944 59916 84881 119832 169762 254643 339524 509286 679048 1018572 2037144