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1640100000 = 2535571171
BaseRepresentation
bin110000111000001…
…1111000010100000
311020022010201020110
41201300133002200
511324331200000
6430425011320
755433422440
oct14160370240
94208121213
101640100000
11771880450
12399323b40
13201a35c96
14117b72120
1598ec0850
hex61c1f0a0

1640100000 has 576 divisors, whose sum is σ = 6803564544. Its totient is φ = 336000000.

The previous prime is 1640099987. The next prime is 1640100019. The reversal of 1640100000 is 10461.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23099965 + ... + 23100035.

It is an arithmetic number, because the mean of its divisors is an integer number (11811744).

Almost surely, 21640100000 is an apocalyptic number.

1640100000 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 1640100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401782272).

1640100000 is an abundant number, since it is smaller than the sum of its proper divisors (5163464544).

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

1640100000 is an equidigital number, since it uses as much as digits as its factorization.

1640100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1640100000 is about 40498.1481058085. The cubic root of 1640100000 is about 1179.2976764847.

Adding to 1640100000 its reverse (10461), we get a palindrome (1640110461).

The spelling of 1640100000 in words is "one billion, six hundred forty million, one hundred thousand".