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2870189088 = 2531319112041
BaseRepresentation
bin1010101100010011…
…1001110000100000
321102000202201020120
42223010321300200
521334232022323
61152450040240
7131061130134
oct25304716040
97360681216
102870189088
1112431685a8
12681279080
13369833b50
141d32953c4
1511bea15e3
hexab139c20

2870189088 has 96 divisors (see below), whose sum is σ = 8156961792. Its totient is φ = 878438400.

The previous prime is 2870189059. The next prime is 2870189093. The reversal of 2870189088 is 8809810782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2870189088.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232348 + ... + 244388.

It is an arithmetic number, because the mean of its divisors is an integer number (84968352).

Almost surely, 22870189088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2870189088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078480896).

2870189088 is an abundant number, since it is smaller than the sum of its proper divisors (5286772704).

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

2870189088 is a wasteful number, since it uses less digits than its factorization.

2870189088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12258 (or 12250 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The square root of 2870189088 is about 53574.1457048080. The cubic root of 2870189088 is about 1421.1399112420.

The spelling of 2870189088 in words is "two billion, eight hundred seventy million, one hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 191 208 312 382 416 573 624 764 1146 1248 1528 2292 2483 3056 4584 4966 6112 7449 9168 9932 12041 14898 18336 19864 24082 29796 36123 39728 48164 59592 72246 79456 96328 119184 144492 156533 192656 238368 288984 313066 385312 469599 577968 626132 939198 1155936 1252264 1878396 2299831 2504528 3756792 4599662 5009056 6899493 7513584 9199324 13798986 15027168 18398648 27597972 29897803 36797296 55195944 59795606 73594592 89693409 110391888 119591212 179386818 220783776 239182424 358773636 478364848 717547272 956729696 1435094544 2870189088