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1084214660 = 2254111311701
BaseRepresentation
bin100000010011111…
…1100110110000100
32210120010210220112
41000213330312010
54210024332120
6255330252152
735603446454
oct10047746604
92716123815
101084214660
11507013581
12263127058
13143814a49
14a3dcdd64
15652b8bc5
hex409fcd84

1084214660 has 48 divisors (see below), whose sum is σ = 2353225392. Its totient is φ = 419328000.

The previous prime is 1084214623. The next prime is 1084214669. The reversal of 1084214660 is 664124801.

It can be written as a sum of positive squares in 8 ways, for example, as 276290884 + 807923776 = 16622^2 + 28424^2 .

It is not an unprimeable number, because it can be changed into a prime (1084214669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86810 + ... + 98510.

It is an arithmetic number, because the mean of its divisors is an integer number (49025529).

Almost surely, 21084214660 is an apocalyptic number.

1084214660 is a gapful number since it is divisible by the number (10) 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 1084214660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176612696).

1084214660 is an abundant number, since it is smaller than the sum of its proper divisors (1269010732).

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

1084214660 is a wasteful number, since it uses less digits than its factorization.

1084214660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11864 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 1084214660 is about 32927.4150215288. The cubic root of 1084214660 is about 1027.3184592137.

The spelling of 1084214660 in words is "one billion, eighty-four million, two hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 113 164 205 226 410 452 565 820 1130 2260 4633 9266 11701 18532 23165 23402 46330 46804 58505 92660 117010 234020 479741 959482 1322213 1918964 2398705 2644426 4797410 5288852 6611065 9594820 13222130 26444260 54210733 108421466 216842932 271053665 542107330 1084214660