Search a number
-
+
1661299200 = 293352111923
BaseRepresentation
bin110001100000101…
…0110101000000000
311021210000202002000
41203001112220000
511400243033300
6432503224000
756111544621
oct14301265000
94253022060
101661299200
1178283a750
123a4448000
132062491a2
1411a8cda48
159acabc00
hex63056a00

1661299200 has 960 divisors, whose sum is σ = 7306675200. Its totient is φ = 364953600.

The previous prime is 1661299183. The next prime is 1661299217. The reversal of 1661299200 is 29921661.

1661299200 is a `hidden beast` number, since 16 + 612 + 9 + 9 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1661299183) and next prime (1661299217).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 72230389 + ... + 72230411.

It is an arithmetic number, because the mean of its divisors is an integer number (7611120).

Almost surely, 21661299200 is an apocalyptic number.

1661299200 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 1661299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653337600).

1661299200 is an abundant number, since it is smaller than the sum of its proper divisors (5645376000).

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

1661299200 is a wasteful number, since it uses less digits than its factorization.

1661299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1661299200 is about 40759.0382614703. The cubic root of 1661299200 is about 1184.3569656567.

It can be divided in two parts, 16 and 61299200, that added together give a palindrome (61299216).

The spelling of 1661299200 in words is "one billion, six hundred sixty-one million, two hundred ninety-nine thousand, two hundred".