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1353982986 = 233172695483
BaseRepresentation
bin101000010110100…
…0010010000001010
310111100202110111000
41100231002100022
510233104423421
6342204315430
745360444156
oct12055022012
93440673430
101353982986
11635319504
12319542b76
13187689285
14cbb74066
157dd05226
hex50b4240a

1353982986 has 64 divisors (see below), whose sum is σ = 3198268800. Its totient is φ = 423122688.

The previous prime is 1353982979. The next prime is 1353983051. The reversal of 1353982986 is 6892893531.

1353982986 is a `hidden beast` number, since 1 + 3 + 539 + 8 + 29 + 86 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244201 + ... + 249683.

It is an arithmetic number, because the mean of its divisors is an integer number (49972950).

Almost surely, 21353982986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353982986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599134400).

1353982986 is an abundant number, since it is smaller than the sum of its proper divisors (1844285814).

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

1353982986 is a wasteful number, since it uses less digits than its factorization.

1353982986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 5774 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 1353982986 is about 36796.5077962570. The cubic root of 1353982986 is about 1106.2953043210.

It can be divided in two parts, 135398 and 2986, that added together give a square (138384 = 3722).

The spelling of 1353982986 in words is "one billion, three hundred fifty-three million, nine hundred eighty-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 269 306 459 538 807 918 1614 2421 4573 4842 5483 7263 9146 10966 13719 14526 16449 27438 32898 41157 49347 82314 93211 98694 123471 148041 186422 246942 279633 296082 559266 838899 1474927 1677798 2516697 2949854 4424781 5033394 8849562 13274343 25073759 26548686 39823029 50147518 75221277 79646058 150442554 225663831 451327662 676991493 1353982986