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1151054320 = 245132348121
BaseRepresentation
bin100010010011011…
…1011000111110000
32222012220121200111
41010212323013300
54324132214240
6310115031104
740344541333
oct10446730760
92865817614
101151054320
11540816169
1228159b494
13154617c40
14acc2c61a
156b0bd1ea
hex449bb1f0

1151054320 has 80 divisors (see below), whose sum is σ = 3007432512. Its totient is φ = 406517760.

The previous prime is 1151054293. The next prime is 1151054321. The reversal of 1151054320 is 234501511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1151054291 and 1151054300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151054321) 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, 141 + ... + 47980.

Almost surely, 21151054320 is an apocalyptic number.

1151054320 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 1151054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503716256).

1151054320 is an abundant number, since it is smaller than the sum of its proper divisors (1856378192).

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

1151054320 is a wasteful number, since it uses less digits than its factorization.

1151054320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48170 (or 48164 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1151054320 is about 33927.1914546430. The cubic root of 1151054320 is about 1048.0096293037.

Adding to 1151054320 its reverse (234501511), we get a palindrome (1385555831).

The spelling of 1151054320 in words is "one billion, one hundred fifty-one million, fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 48121 96242 192484 240605 384968 481210 625573 769936 962420 1106783 1251146 1924840 2213566 2502292 3127865 3849680 4427132 5004584 5533915 6255730 8854264 10009168 11067830 12511460 14388179 17708528 22135660 25022920 28776358 44271320 50045840 57552716 71940895 88542640 115105432 143881790 230210864 287763580 575527160 1151054320