Search a number
-
+
1338021090 = 2325723107863
BaseRepresentation
bin100111111000000…
…1001010011100010
310110020201111212200
41033300021103202
510220013133330
6340434234030
745104664060
oct11760112342
93406644780
101338021090
1162730705a
12314125916
1318428ab73
14c99bb030
157c700a60
hex4fc094e2

1338021090 has 192 divisors, whose sum is σ = 4192321536. Its totient is φ = 289466496.

The previous prime is 1338021029. The next prime is 1338021103. The reversal of 1338021090 is 901208331.

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, 1549999 + ... + 1550861.

It is an arithmetic number, because the mean of its divisors is an integer number (21835008).

Almost surely, 21338021090 is an apocalyptic number.

1338021090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338021090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096160768).

1338021090 is an abundant number, since it is smaller than the sum of its proper divisors (2854300446).

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

1338021090 is a wasteful number, since it uses less digits than its factorization.

1338021090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1338021090 is about 36578.9705978722. The cubic root of 1338021090 is about 1101.9307935322.

The spelling of 1338021090 in words is "one billion, three hundred thirty-eight million, twenty-one thousand, ninety".