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2873420 = 2251137353
BaseRepresentation
bin1010111101100001001100
312101222120222
422331201030
51213422140
6141330512
733265214
oct12754114
95358528
102873420
111692930
12b66a38
13797b64
1454b244
153bb5b5
hex2bd84c

2873420 has 48 divisors (see below), whose sum is σ = 6779808. Its totient is φ = 1013760.

The previous prime is 2873417. The next prime is 2873447. The reversal of 2873420 is 243782.

2873420 = T279 + T280 + ... + T338.

2873420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2873420.

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 15 ways as a sum of consecutive naturals, for example, 7964 + ... + 8316.

It is an arithmetic number, because the mean of its divisors is an integer number (141246).

22873420 is an apocalyptic number.

2873420 is a gapful number since it is divisible by the number (20) 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 2873420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389904).

2873420 is an abundant number, since it is smaller than the sum of its proper divisors (3906388).

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

2873420 is a wasteful number, since it uses less digits than its factorization.

2873420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 2873420 is about 1695.1165151694. The cubic root of 2873420 is about 142.1672960465.

The spelling of 2873420 in words is "two million, eight hundred seventy-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 353 370 407 706 740 814 1412 1628 1765 2035 3530 3883 4070 7060 7766 8140 13061 15532 19415 26122 38830 52244 65305 77660 130610 143671 261220 287342 574684 718355 1436710 2873420