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2874120 = 233543557
BaseRepresentation
bin1010111101101100001000
312102000112220
422331230020
51213432440
6141334040
733300234
oct12755410
95360486
102874120
111693407
12b67320
13798282
1454b5c4
153bb8d0
hex2bdb08

2874120 has 64 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 747264.

The previous prime is 2874119. The next prime is 2874121. The reversal of 2874120 is 214782.

2874120 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 (2874119) and next prime (2874121).

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

It is not an unprimeable number, because it can be changed into a prime (2874121) 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, 4882 + ... + 5438.

It is an arithmetic number, because the mean of its divisors is an integer number (138105).

22874120 is an apocalyptic number.

2874120 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 2874120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

2874120 is an abundant number, since it is smaller than the sum of its proper divisors (5964600).

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

2874120 is a wasteful number, since it uses less digits than its factorization.

2874120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2874120 is about 1695.3229780782. The cubic root of 2874120 is about 142.1788396690.

The spelling of 2874120 in words is "two million, eight hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 557 645 860 1032 1114 1290 1671 1720 2228 2580 2785 3342 4456 5160 5570 6684 8355 11140 13368 16710 22280 23951 33420 47902 66840 71853 95804 119755 143706 191608 239510 287412 359265 479020 574824 718530 958040 1437060 2874120