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1152120832 = 211797121
BaseRepresentation
bin100010010101011…
…1111100000000000
32222021220210122221
41010222333200000
54324420331312
6310153540424
740356602602
oct10452774000
92867823587
101152120832
11541384485
12281a14714
131548cc505
14ad029172
156b22e207
hex44abf800

1152120832 has 48 divisors (see below), whose sum is σ = 2333167200. Its totient is φ = 568688640.

The previous prime is 1152120779. The next prime is 1152120863. The reversal of 1152120832 is 2380212511.

It is a junction number, because it is equal to n+sod(n) for n = 1152120797 and 1152120806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158232 + ... + 165352.

It is an arithmetic number, because the mean of its divisors is an integer number (48607650).

Almost surely, 21152120832 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 1152120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166583600).

1152120832 is an abundant number, since it is smaller than the sum of its proper divisors (1181046368).

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

1152120832 is an frugal number, since it uses more digits than its factorization.

1152120832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222 (or 7202 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1152120832 is about 33942.9054737511. The cubic root of 1152120832 is about 1048.3332079559. Note that the first 3 decimals are identical.

The spelling of 1152120832 in words is "one billion, one hundred fifty-two million, one hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1024 1264 2048 2528 5056 7121 10112 14242 20224 28484 40448 56968 80896 113936 161792 227872 455744 562559 911488 1125118 1822976 2250236 3645952 4500472 7291904 9000944 14583808 18001888 36003776 72007552 144015104 288030208 576060416 1152120832