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2096153640 = 233457293187
BaseRepresentation
bin111110011110000…
…1100010000101000
312102002021122020000
41330330030100220
513243103404030
6543555503000
7102642004050
oct17474142050
95362248200
102096153640
11986251289
124a5bb7a60
132753721c9
1415c568560
15c4057860
hex7cf0c428

2096153640 has 320 divisors, whose sum is σ = 8332156800. Its totient is φ = 462454272.

The previous prime is 2096153627. The next prime is 2096153641. The reversal of 2096153640 is 463516902.

It is a happy number.

2096153640 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 1 + 5 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2096153595 and 2096153604.

It is not an unprimeable number, because it can be changed into a prime (2096153641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 656127 + ... + 659313.

It is an arithmetic number, because the mean of its divisors is an integer number (26037990).

Almost surely, 22096153640 is an apocalyptic number.

2096153640 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 2096153640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166078400).

2096153640 is an abundant number, since it is smaller than the sum of its proper divisors (6236003160).

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

2096153640 is a wasteful number, since it uses less digits than its factorization.

2096153640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2096153640 is about 45783.7704869313. The cubic root of 2096153640 is about 1279.7968508979.

The spelling of 2096153640 in words is "two billion, ninety-six million, one hundred fifty-three thousand, six hundred forty".