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2151496320 = 273541151181
BaseRepresentation
bin1000000000111101…
…0011101010000000
312112221102100002220
42000033103222000
513401240340240
6553254011040
7104213263011
oct20017235200
95487370086
102151496320
11a04511036
12500646a80
1328397b35c
14165a53008
15c8d3a5d0
hex803d3a80

2151496320 has 256 divisors, whose sum is σ = 7110754560. Its totient is φ = 552960000.

The previous prime is 2151496289. The next prime is 2151496327. The reversal of 2151496320 is 236941512.

It is not an unprimeable number, because it can be changed into a prime (2151496327) 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 31 ways as a sum of consecutive naturals, for example, 11886630 + ... + 11886810.

It is an arithmetic number, because the mean of its divisors is an integer number (27776385).

Almost surely, 22151496320 is an apocalyptic number.

2151496320 is a gapful number since it is divisible by the number (20) 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 2151496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555377280).

2151496320 is an abundant number, since it is smaller than the sum of its proper divisors (4959258240).

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

2151496320 is a wasteful number, since it uses less digits than its factorization.

2151496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2151496320 is about 46384.2249045944. The cubic root of 2151496320 is about 1290.9622290198.

The spelling of 2151496320 in words is "two billion, one hundred fifty-one million, four hundred ninety-six thousand, three hundred twenty".