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2159096940 = 223257111323521
BaseRepresentation
bin1000000010110001…
…0011010001101100
312120110201111012100
42000230103101230
513410212100230
6554124535100
7104335010160
oct20054232154
95513644170
102159096940
11a08832540
125030b1490
1328540ca70
14166a70ca0
15c983c660
hex80b1346c

2159096940 has 576 divisors, whose sum is σ = 9193347072. Its totient is φ = 395366400.

The previous prime is 2159096903. The next prime is 2159096969. The reversal of 2159096940 is 496909512.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4143880 + ... + 4144400.

It is an arithmetic number, because the mean of its divisors is an integer number (15960672).

Almost surely, 22159096940 is an apocalyptic number.

2159096940 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 2159096940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596673536).

2159096940 is an abundant number, since it is smaller than the sum of its proper divisors (7034250132).

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

2159096940 is a wasteful number, since it uses less digits than its factorization.

2159096940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 2159096940 is about 46466.0837600932. The cubic root of 2159096940 is about 1292.4806422605.

The spelling of 2159096940 in words is "two billion, one hundred fifty-nine million, ninety-six thousand, nine hundred forty".