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1084120704 = 27329291013
BaseRepresentation
bin100000010011110…
…0101111010000000
32210112222001000200
41000213211322000
54210013330304
6255324245200
735602605522
oct10047457200
92715861020
101084120704
11506a59a27
122630a0800
131437b1054
14a3da7a12
156529ae39
hex409e5e80

1084120704 has 96 divisors (see below), whose sum is σ = 3126111300. Its totient is φ = 360628224.

The previous prime is 1084120673. The next prime is 1084120711. The reversal of 1084120704 is 4070214801.

It can be written as a sum of positive squares in 2 ways, for example, as 641102400 + 443018304 = 25320^2 + 21048^2 .

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

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, 1069702 + ... + 1070714.

Almost surely, 21084120704 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 1084120704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563055650).

1084120704 is an abundant number, since it is smaller than the sum of its proper divisors (2041990596).

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

1084120704 is a wasteful number, since it uses less digits than its factorization.

1084120704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1084120704 is about 32925.9882767397. The cubic root of 1084120704 is about 1027.2887831957.

The spelling of 1084120704 in words is "one billion, eighty-four million, one hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 929 1013 1152 1858 2026 2787 3039 3716 4052 5574 6078 7432 8104 8361 9117 11148 12156 14864 16208 16722 18234 22296 24312 29728 32416 33444 36468 44592 48624 59456 64832 66888 72936 89184 97248 118912 129664 133776 145872 178368 194496 267552 291744 356736 388992 535104 583488 941077 1070208 1166976 1882154 2823231 3764308 5646462 7528616 8469693 11292924 15057232 16939386 22585848 30114464 33878772 45171696 60228928 67757544 90343392 120457856 135515088 180686784 271030176 361373568 542060352 1084120704