Search a number
-
+
2872830 = 2351743131
BaseRepresentation
bin1010111101010111111110
312101221210010
422331113332
51213412310
6141324050
733263412
oct12752776
95357703
102872830
111692444
12b66626
137977cc
1454ad42
153bb320
hex2bd5fe

2872830 has 64 divisors (see below), whose sum is σ = 7527168. Its totient is φ = 698880.

The previous prime is 2872823. The next prime is 2872853. The reversal of 2872830 is 382782.

2872830 = 7562 + 7572 + ... + 7602.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21865 + ... + 21995.

It is an arithmetic number, because the mean of its divisors is an integer number (117612).

22872830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2872830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763584).

2872830 is an abundant number, since it is smaller than the sum of its proper divisors (4654338).

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

2872830 is a wasteful number, since it uses less digits than its factorization.

2872830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2872830 is about 1694.9424769000. The cubic root of 2872830 is about 142.1575649657.

The spelling of 2872830 in words is "two million, eight hundred seventy-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 131 170 215 255 258 262 393 430 510 645 655 731 786 1290 1310 1462 1965 2193 2227 3655 3930 4386 4454 5633 6681 7310 10965 11135 11266 13362 16899 21930 22270 28165 33405 33798 56330 66810 84495 95761 168990 191522 287283 478805 574566 957610 1436415 2872830