Search a number
-
+
1996462080 = 2113452983
BaseRepresentation
bin111011011111111…
…1001100000000000
312011010200210010000
41312333321200000
513042043241310
6530035040000
7100321435104
oct16677714000
95133623100
101996462080
11934a50568
12478740000
1325a808c12
1414d217904
15ba4144c0
hex76ff9800

1996462080 has 480 divisors, whose sum is σ = 7491884400. Its totient is φ = 507838464.

The previous prime is 1996462079. The next prime is 1996462103. The reversal of 1996462080 is 802646991.

It is a happy number.

1996462080 is a `hidden beast` number, since 19 + 9 + 6 + 4 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24053719 + ... + 24053801.

Almost surely, 21996462080 is an apocalyptic number.

1996462080 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 1996462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745942200).

1996462080 is an abundant number, since it is smaller than the sum of its proper divisors (5495422320).

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

1996462080 is an equidigital number, since it uses as much as digits as its factorization.

1996462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1996462080 is about 44681.7868935431. The cubic root of 1996462080 is about 1259.1776947538.

The spelling of 1996462080 in words is "one billion, nine hundred ninety-six million, four hundred sixty-two thousand, eighty".