Search a number
-
+
990666432 = 263271797149
BaseRepresentation
bin111011000011000…
…101111011000000
32120001010001212100
4323003011323000
54012102311212
6242145230400
733356345220
oct7303057300
92501101770
10990666432
11469229398
12237932400
1312a31ca72
14957dc080
155be8abdc
hex3b0c5ec0

990666432 has 336 divisors, whose sum is σ = 3494836800. Its totient is φ = 261881856.

The previous prime is 990666331. The next prime is 990666433. The reversal of 990666432 is 234666099.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×9906664322 = 1962839958983221248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (990666433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6648694 + ... + 6648842.

It is an arithmetic number, because the mean of its divisors is an integer number (10401300).

Almost surely, 2990666432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747418400).

990666432 is an abundant number, since it is smaller than the sum of its proper divisors (2504170368).

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

990666432 is a wasteful number, since it uses less digits than its factorization.

990666432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 990666432 is about 31474.8539631243. The cubic root of 990666432 is about 996.8790806619.

The spelling of 990666432 in words is "nine hundred ninety million, six hundred sixty-six thousand, four hundred thirty-two".