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2870472 = 2331183131
BaseRepresentation
bin1010111100110011001000
312101211112210
422330303020
51213323342
6141305120
733253503
oct12746310
95354483
102870472
1116906a0
12b651a0
13796707
1454a13a
153ba79c
hex2bccc8

2870472 has 64 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 852800.

The previous prime is 2870471. The next prime is 2870473. The reversal of 2870472 is 2740782.

2870472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2870471) and next prime (2870473).

It is not an unprimeable number, because it can be changed into a prime (2870471) 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 15 ways as a sum of consecutive naturals, for example, 21847 + ... + 21977.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

22870472 is an apocalyptic number.

2870472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2870472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

2870472 is an abundant number, since it is smaller than the sum of its proper divisors (5112888).

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

2870472 is a wasteful number, since it uses less digits than its factorization.

2870472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2870472 is about 1694.2467352780. The cubic root of 2870472 is about 142.1186603209.

It can be divided in two parts, 28 and 70472, that added together give a triangular number (70500 = T375).

The spelling of 2870472 in words is "two million, eight hundred seventy thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 131 132 166 249 262 264 332 393 498 524 664 786 913 996 1048 1441 1572 1826 1992 2739 2882 3144 3652 4323 5478 5764 7304 8646 10873 10956 11528 17292 21746 21912 32619 34584 43492 65238 86984 119603 130476 239206 260952 358809 478412 717618 956824 1435236 2870472