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2889974070 = 2325314722039
BaseRepresentation
bin1010110001000001…
…1000000100110110
321110101222220010200
42230100120010312
521404313132240
61154434101330
7131421242244
oct25420300466
97411886120
102889974070
111253351325
12687a1a846
13370970439
141d5b65794
1511daad930
hexac418136

2889974070 has 96 divisors (see below), whose sum is σ = 7921704960. Its totient is φ = 729898560.

The previous prime is 2889974063. The next prime is 2889974071. The reversal of 2889974070 is 704799882.

It is a junction number, because it is equal to n+sod(n) for n = 2889973998 and 2889974016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889974071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120111 + ... + 142149.

It is an arithmetic number, because the mean of its divisors is an integer number (82517760).

Almost surely, 22889974070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2889974070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960852480).

2889974070 is an abundant number, since it is smaller than the sum of its proper divisors (5031730890).

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

2889974070 is a wasteful number, since it uses less digits than its factorization.

2889974070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22130 (or 22127 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2889974070 is about 53758.4790521458. The cubic root of 2889974070 is about 1424.3978693372.

The spelling of 2889974070 in words is "two billion, eight hundred eighty-nine million, nine hundred seventy-four thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 47 62 90 93 94 141 155 186 235 279 282 310 423 465 470 558 705 846 930 1395 1410 1457 2115 2790 2914 4230 4371 7285 8742 13113 14570 21855 22039 26226 43710 44078 65565 66117 110195 131130 132234 198351 220390 330585 396702 661170 683209 991755 1035833 1366418 1983510 2049627 2071666 3107499 3416045 4099254 5179165 6148881 6214998 6832090 9322497 10248135 10358330 12297762 15537495 18644994 20496270 30744405 31074990 32110823 46612485 61488810 64221646 93224970 96332469 160554115 192664938 288997407 321108230 481662345 577994814 963324690 1444987035 2889974070