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1163090368 = 26114193943
BaseRepresentation
bin100010101010011…
…0101100111000000
310000001120010001001
41011110311213000
54340222342433
6311225021344
740552051006
oct10524654700
93001503031
101163090368
11547597010
12285624854
13156c7046b
14b0682a76
156c19957d
hex455359c0

1163090368 has 56 divisors (see below), whose sum is σ = 2524475520. Its totient is φ = 527281920.

The previous prime is 1163090363. The next prime is 1163090387. The reversal of 1163090368 is 8630903611.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163090363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293005 + ... + 296947.

It is an arithmetic number, because the mean of its divisors is an integer number (45079920).

Almost surely, 21163090368 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 1163090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262237760).

1163090368 is an abundant number, since it is smaller than the sum of its proper divisors (1361385152).

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

1163090368 is a wasteful number, since it uses less digits than its factorization.

1163090368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 1163090368 is about 34104.1107199704. The cubic root of 1163090368 is about 1051.6498229704.

Adding to 1163090368 its reverse (8630903611), we get a palindrome (9793993979).

The spelling of 1163090368 in words is "one billion, one hundred sixty-three million, ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 419 704 838 1676 3352 3943 4609 6704 7886 9218 13408 15772 18436 26816 31544 36872 43373 63088 73744 86746 126176 147488 173492 252352 294976 346984 693968 1387936 1652117 2775872 3304234 6608468 13216936 18173287 26433872 36346574 52867744 72693148 105735488 145386296 290772592 581545184 1163090368