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2013032 = 237103349
BaseRepresentation
bin111101011011101101000
310210021100202
413223131220
51003404112
6111051332
723052620
oct7533550
93707322
102013032
11115546a
12810b48
13556358
143a5880
1529b6c2
hex1eb768

2013032 has 32 divisors (see below), whose sum is σ = 4368000. Its totient is φ = 851904.

The previous prime is 2013023. The next prime is 2013043. The reversal of 2013032 is 2303102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5594 + ... + 5942.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

22013032 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 2013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184000).

2013032 is an abundant number, since it is smaller than the sum of its proper divisors (2354968).

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

2013032 is a wasteful number, since it uses less digits than its factorization.

2013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2013032 is about 1418.8135888833. The cubic root of 2013032 is about 126.2651676055.

Subtracting from 2013032 its sum of digits (11), we obtain a triangular number (2013021 = T2006).

Adding to 2013032 its reverse (2303102), we get a palindrome (4316134).

The spelling of 2013032 in words is "two million, thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 103 206 349 412 698 721 824 1396 1442 2443 2792 2884 4886 5768 9772 19544 35947 71894 143788 251629 287576 503258 1006516 2013032