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2870016 = 28337101
BaseRepresentation
bin1010111100101100000000
312101210220220
422330230000
51213320031
6141303040
733252252
oct12745400
95353826
102870016
111690316
12b64a80
13796446
14549cd2
153ba596
hex2bcb00

2870016 has 72 divisors (see below), whose sum is σ = 7922544. Its totient is φ = 921600.

The previous prime is 2869987. The next prime is 2870017. The reversal of 2870016 is 6100782.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2870017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28366 + ... + 28466.

22870016 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 2870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961272).

2870016 is an abundant number, since it is smaller than the sum of its proper divisors (5052528).

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

2870016 is a wasteful number, since it uses less digits than its factorization.

2870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2870016 is about 1694.1121568538. The cubic root of 2870016 is about 142.1111343181. Note that the first 4 decimals are identical.

Adding to 2870016 its reverse (6100782), we get a palindrome (8970798).

The spelling of 2870016 in words is "two million, eight hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 101 111 128 148 192 202 222 256 296 303 384 404 444 592 606 768 808 888 1184 1212 1616 1776 2368 2424 3232 3552 3737 4736 4848 6464 7104 7474 9472 9696 11211 12928 14208 14948 19392 22422 25856 28416 29896 38784 44844 59792 77568 89688 119584 179376 239168 358752 478336 717504 956672 1435008 2870016