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2900032 = 26113401
BaseRepresentation
bin1011000100000001000000
312110100002121
423010001000
51220300112
6142054024
733435622
oct13040100
95410077
102900032
111700923
12b7a314
137a6cc5
14556c12
153c4407
hex2c4040

2900032 has 28 divisors (see below), whose sum is σ = 5820156. Its totient is φ = 1433600.

The previous prime is 2900017. The next prime is 2900039. The reversal of 2900032 is 2300092.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 1401856 = 1224^2 + 1184^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2899979 and 2900015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2900039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7032 + ... + 7432.

22900032 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 2900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910078).

2900032 is an abundant number, since it is smaller than the sum of its proper divisors (2920124).

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

2900032 is a wasteful number, since it uses less digits than its factorization.

2900032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2900032 is about 1702.9480320902. The cubic root of 2900032 is about 142.6048392339.

The spelling of 2900032 in words is "two million, nine hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 113 226 401 452 802 904 1604 1808 3208 3616 6416 7232 12832 25664 45313 90626 181252 362504 725008 1450016 2900032