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1361088 = 263217139
BaseRepresentation
bin101001100010011000000
32120011001200
411030103000
5322023323
645101200
714366121
oct5142300
92504050
101361088
1184a673
12557800
133886a1
14276048
151bd443
hex14c4c0

1361088 has 84 divisors (see below), whose sum is σ = 4160520. Its totient is φ = 423936.

The previous prime is 1361081. The next prime is 1361089. The reversal of 1361088 is 8801631.

It is not an unprimeable number, because it can be changed into a prime (1361081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9723 + ... + 9861.

It is an arithmetic number, because the mean of its divisors is an integer number (49530).

21361088 is an apocalyptic number.

1361088 is a gapful number since it is divisible by the number (18) 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 1361088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080260).

1361088 is an abundant number, since it is smaller than the sum of its proper divisors (2799432).

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

1361088 is a wasteful number, since it uses less digits than its factorization.

1361088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1361088 is about 1166.6567618627. The cubic root of 1361088 is about 110.8227021040.

The spelling of 1361088 in words is "one million, three hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 139 144 153 192 204 272 278 288 306 408 417 544 556 576 612 816 834 1088 1112 1224 1251 1632 1668 2224 2363 2448 2502 3264 3336 4448 4726 4896 5004 6672 7089 8896 9452 9792 10008 13344 14178 18904 20016 21267 26688 28356 37808 40032 42534 56712 75616 80064 85068 113424 151232 170136 226848 340272 453696 680544 1361088