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2870424 = 233397137
BaseRepresentation
bin1010111100110010011000
312101211111000
422330302120
51213323144
6141305000
733253404
oct12746230
95354430
102870424
111690657
12b65160
1379669b
1454a104
153ba769
hex2bcc98

2870424 has 64 divisors (see below), whose sum is σ = 8114400. Its totient is φ = 940032.

The previous prime is 2870411. The next prime is 2870429. The reversal of 2870424 is 4240782.

2870424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2870429) 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, 20884 + ... + 21020.

22870424 is an apocalyptic number.

2870424 is a gapful number since it is divisible by the number (24) 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 2870424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057200).

2870424 is an abundant number, since it is smaller than the sum of its proper divisors (5243976).

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

2870424 is a wasteful number, since it uses less digits than its factorization.

2870424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2870424 is about 1694.2325696315. The cubic root of 2870424 is about 142.1178681476.

The spelling of 2870424 in words is "two million, eight hundred seventy thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 137 194 216 274 291 388 411 548 582 776 822 873 1096 1164 1233 1644 1746 2328 2466 2619 3288 3492 3699 4932 5238 6984 7398 9864 10476 13289 14796 20952 26578 29592 39867 53156 79734 106312 119601 159468 239202 318936 358803 478404 717606 956808 1435212 2870424