Search a number
-
+
2069632 = 27192337
BaseRepresentation
bin111111001010010000000
310220011000001
413321102000
51012212012
6112205344
723406625
oct7712200
93804001
102069632
111193a44
12839854
13576046
143bc34c
152ad357
hex1f9480

2069632 has 64 divisors (see below), whose sum is σ = 4651200. Its totient is φ = 912384.

The previous prime is 2069629. The next prime is 2069647. The reversal of 2069632 is 2369602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2069632.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55918 + ... + 55954.

It is an arithmetic number, because the mean of its divisors is an integer number (72675).

22069632 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 2069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325600).

2069632 is an abundant number, since it is smaller than the sum of its proper divisors (2581568).

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

2069632 is a wasteful number, since it uses less digits than its factorization.

2069632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 2069632 is about 1438.6215624687. The cubic root of 2069632 is about 127.4376370657.

It can be divided in two parts, 2069 and 632, that added together give a triangular number (2701 = T73).

The spelling of 2069632 in words is "two million, sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 19 23 32 37 38 46 64 74 76 92 128 148 152 184 296 304 368 437 592 608 703 736 851 874 1184 1216 1406 1472 1702 1748 2368 2432 2812 2944 3404 3496 4736 5624 6808 6992 11248 13616 13984 16169 22496 27232 27968 32338 44992 54464 55936 64676 89984 108928 129352 258704 517408 1034816 2069632