Search a number
-
+
1151352160 = 25574125073
BaseRepresentation
bin100010010100000…
…0011110101100000
32222020110202020121
41010220003311200
54324221232120
6310125250024
740350221560
oct10450036540
92866422217
101151352160
115409a9a12
12281703914
131546c068a
14acca8da0
156b12b5aa
hex44a03d60

1151352160 has 96 divisors (see below), whose sum is σ = 3184598592. Its totient is φ = 385105920.

The previous prime is 1151352157. The next prime is 1151352161. The reversal of 1151352160 is 612531511.

It is a happy number.

It is a super-2 number, since 2×11513521602 = 2651223592673331200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151352161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33384 + ... + 58456.

It is an arithmetic number, because the mean of its divisors is an integer number (33172902).

Almost surely, 21151352160 is an apocalyptic number.

1151352160 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 1151352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592299296).

1151352160 is an abundant number, since it is smaller than the sum of its proper divisors (2033246432).

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

1151352160 is a wasteful number, since it uses less digits than its factorization.

1151352160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25136 (or 25128 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 1151352160 is about 33931.5805703183. The cubic root of 1151352160 is about 1048.1000137637.

Adding to 1151352160 its reverse (612531511), we get a palindrome (1763883671).

The spelling of 1151352160 in words is "one billion, one hundred fifty-one million, three hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 820 1120 1148 1312 1435 1640 2296 2870 3280 4592 5740 6560 9184 11480 22960 25073 45920 50146 100292 125365 175511 200584 250730 351022 401168 501460 702044 802336 877555 1002920 1027993 1404088 1755110 2005840 2055986 2808176 3510220 4011680 4111972 5139965 5616352 7020440 7195951 8223944 10279930 14040880 14391902 16447888 20559860 28081760 28783804 32895776 35979755 41119720 57567608 71959510 82239440 115135216 143919020 164478880 230270432 287838040 575676080 1151352160