Search a number
-
+
1990969200 = 2433521116759
BaseRepresentation
bin111011010101011…
…1100011101110000
312010202100201022000
41312222330131300
513034142003300
6525321214000
7100223646633
oct16652743560
95122321260
101990969200
119319396a0
12476931300
132596349ac
1414c5c7c1a
15b9bcbc00
hex76abc770

1990969200 has 240 divisors, whose sum is σ = 7731052800. Its totient is φ = 482630400.

The previous prime is 1990969129. The next prime is 1990969231. The reversal of 1990969200 is 29690991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 110421 + ... + 127179.

It is an arithmetic number, because the mean of its divisors is an integer number (32212720).

Almost surely, 21990969200 is an apocalyptic number.

1990969200 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 1990969200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865526400).

1990969200 is an abundant number, since it is smaller than the sum of its proper divisors (5740083600).

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

1990969200 is a wasteful number, since it uses less digits than its factorization.

1990969200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16797 (or 16780 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 1990969200 is about 44620.2779014206. The cubic root of 1990969200 is about 1258.0218392853.

The spelling of 1990969200 in words is "one billion, nine hundred ninety million, nine hundred sixty-nine thousand, two hundred".