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2888040 = 233541587
BaseRepresentation
bin1011000001000101101000
312102201122110
423001011220
51214404130
6141522320
733355641
oct13010550
95381573
102888040
1116a2911
12b733a0
137a16cc
145526c8
153c0ab0
hex2c1168

2888040 has 64 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 750080.

The previous prime is 2888029. The next prime is 2888059. The reversal of 2888040 is 408882.

2888040 = T207 + T208 + ... + T296.

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

It is a junction number, because it is equal to n+sod(n) for n = 2887989 and 2888007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4627 + ... + 5213.

It is an arithmetic number, because the mean of its divisors is an integer number (138915).

22888040 is an apocalyptic number.

2888040 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 2888040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

2888040 is an abundant number, since it is smaller than the sum of its proper divisors (6002520).

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

2888040 is a wasteful number, since it uses less digits than its factorization.

2888040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2888040 is about 1699.4234316379. The cubic root of 2888040 is about 142.4080046420.

It can be divided in two parts, 28880 and 40, that added together give a triangular number (28920 = T240).

The spelling of 2888040 in words is "two million, eight hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 587 615 820 984 1174 1230 1640 1761 2348 2460 2935 3522 4696 4920 5870 7044 8805 11740 14088 17610 23480 24067 35220 48134 70440 72201 96268 120335 144402 192536 240670 288804 361005 481340 577608 722010 962680 1444020 2888040