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1996613280 = 253351731877
BaseRepresentation
bin111011100000001…
…1110011010100000
312011010222110112000
41313000132122200
513042113111110
6530042204000
7100322634654
oct16700363240
95133873460
101996613280
11935044122
124787b3600
1325a85c99c
1414d256a64
15ba4441c0
hex7701e6a0

1996613280 has 384 divisors, whose sum is σ = 7646607360. Its totient is φ = 484392960.

The previous prime is 1996613219. The next prime is 1996613287. The reversal of 1996613280 is 823166991.

It is a happy number.

1996613280 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 613 + 28 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1996613287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2276202 + ... + 2277078.

It is an arithmetic number, because the mean of its divisors is an integer number (19913040).

Almost surely, 21996613280 is an apocalyptic number.

1996613280 is a gapful number since it is divisible by the number (10) 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 1996613280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823303680).

1996613280 is an abundant number, since it is smaller than the sum of its proper divisors (5649994080).

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

1996613280 is a wasteful number, since it uses less digits than its factorization.

1996613280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1996613280 is about 44683.4788260717. The cubic root of 1996613280 is about 1259.2094814601.

The spelling of 1996613280 in words is "one billion, nine hundred ninety-six million, six hundred thirteen thousand, two hundred eighty".