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2710089216 = 29323131879
BaseRepresentation
bin1010000110001000…
…1010111000000000
320222212111210111200
42201202022320000
521022240323331
61124530341200
7124105243512
oct24142127000
96885453450
102710089216
11117085815a
1263772a800
13342609ab3
141b9cdbbb2
1510cdc95e6
hexa188ae00

2710089216 has 120 divisors (see below), whose sum is σ = 7850665680. Its totient is φ = 899997696.

The previous prime is 2710089203. The next prime is 2710089257. The reversal of 2710089216 is 6129800172.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1441365 + ... + 1443243.

It is an arithmetic number, because the mean of its divisors is an integer number (65422214).

Almost surely, 22710089216 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 2710089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925332840).

2710089216 is an abundant number, since it is smaller than the sum of its proper divisors (5140576464).

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

2710089216 is a wasteful number, since it uses less digits than its factorization.

2710089216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2710089216 is about 52058.5172282116. The cubic root of 2710089216 is about 1394.2089383250.

Adding to 2710089216 its reverse (6129800172), we get a palindrome (8839889388).

The spelling of 2710089216 in words is "two billion, seven hundred ten million, eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 313 384 512 576 626 768 939 1152 1252 1536 1878 1879 2304 2504 2817 3756 3758 4608 5008 5634 5637 7512 7516 10016 11268 11274 15024 15032 16911 20032 22536 22548 30048 30064 33822 40064 45072 45096 60096 60128 67644 80128 90144 90192 120192 120256 135288 160256 180288 180384 240384 240512 270576 360576 360768 480768 481024 541152 588127 721152 721536 962048 1082304 1176254 1442304 1443072 1764381 2164608 2352508 2886144 3528762 4329216 4705016 5293143 7057524 8658432 9410032 10586286 14115048 18820064 21172572 28230096 37640128 42345144 56460192 75280256 84690288 112920384 150560512 169380576 225840768 301121024 338761152 451681536 677522304 903363072 1355044608 2710089216