Search a number
-
+
1204869120 = 21135713431
BaseRepresentation
bin100011111010000…
…1101100000000000
310002222011200201020
41013310031200000
54431421302440
6315320305440
741600134650
oct10764154000
93088150636
101204869120
11569132004
12297612280
1316280a810
14b603a360
1570b9d3d0
hex47d0d800

1204869120 has 384 divisors, whose sum is σ = 4755179520. Its totient is φ = 253624320.

The previous prime is 1204869089. The next prime is 1204869121. The reversal of 1204869120 is 219684021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204869121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795305 + ... + 2795735.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 21204869120 is an apocalyptic number.

1204869120 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 1204869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377589760).

1204869120 is an abundant number, since it is smaller than the sum of its proper divisors (3550310400).

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

1204869120 is a wasteful number, since it uses less digits than its factorization.

1204869120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1204869120 is about 34711.2246974952. The cubic root of 1204869120 is about 1064.0939107191.

The spelling of 1204869120 in words is "one billion, two hundred four million, eight hundred sixty-nine thousand, one hundred twenty".