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2154521328 = 243311798089
BaseRepresentation
bin1000000001101011…
…0110001011110000
312120011010000122020
42000122312023300
513403024140303
6553442511440
7104251062201
oct20032661360
95504100566
102154521328
11a06197843
12501665580
1328449a1bb
141661dd5a8
15c9236a53
hex806b62f0

2154521328 has 80 divisors (see below), whose sum is σ = 5778201600. Its totient is φ = 691038720.

The previous prime is 2154521323. The next prime is 2154521357. The reversal of 2154521328 is 8231254512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154521323) 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 15 ways as a sum of consecutive naturals, for example, 262308 + ... + 270396.

It is an arithmetic number, because the mean of its divisors is an integer number (72227520).

Almost surely, 22154521328 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 2154521328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889100800).

2154521328 is an abundant number, since it is smaller than the sum of its proper divisors (3623680272).

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

2154521328 is a wasteful number, since it uses less digits than its factorization.

2154521328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8304 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 2154521328 is about 46416.8216059652. The cubic root of 2154521328 is about 1291.5669774819.

The spelling of 2154521328 in words is "two billion, one hundred fifty-four million, five hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 179 186 248 358 372 496 537 716 744 1074 1432 1488 2148 2864 4296 5549 8089 8592 11098 16178 16647 22196 24267 32356 33294 44392 48534 64712 66588 88784 97068 129424 133176 194136 250759 266352 388272 501518 752277 1003036 1447931 1504554 2006072 2895862 3009108 4012144 4343793 5791724 6018216 8687586 11583448 12036432 17375172 23166896 34750344 44885861 69500688 89771722 134657583 179543444 269315166 359086888 538630332 718173776 1077260664 2154521328