Search a number
-
+
2870672 = 24719271
BaseRepresentation
bin1010111100110110010000
312101211211012
422330312100
51213330142
6141310052
733254210
oct12746620
95354735
102870672
111690862
12b65328
1379682c
1454a240
153ba882
hex2bcd90

2870672 has 60 divisors (see below), whose sum is σ = 6803136. Its totient is φ = 1149120.

The previous prime is 2870669. The next prime is 2870683. The reversal of 2870672 is 2760782.

2870672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 40397 + ... + 40467.

22870672 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 2870672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401568).

2870672 is an abundant number, since it is smaller than the sum of its proper divisors (3932464).

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

2870672 is a wasteful number, since it uses less digits than its factorization.

2870672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 2870672 is about 1694.3057575302. The cubic root of 2870672 is about 142.1219609479.

The spelling of 2870672 in words is "two million, eight hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 71 76 112 133 142 152 266 284 304 361 497 532 568 722 994 1064 1136 1349 1444 1988 2128 2527 2698 2888 3976 5054 5396 5776 7952 9443 10108 10792 18886 20216 21584 25631 37772 40432 51262 75544 102524 151088 179417 205048 358834 410096 717668 1435336 2870672