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1333433140 = 2251319326573
BaseRepresentation
bin100111101111010…
…1001001100110100
310102221002102101121
41033132221030310
510212324330030
6340152033324
745020665114
oct11736511464
93387072347
101333433140
11624763066
12312692844
131833427c0
14c9145044
157c0e647a
hex4f7a9334

1333433140 has 48 divisors (see below), whose sum is σ = 3031349328. Its totient is φ = 489775104.

The previous prime is 1333433107. The next prime is 1333433141. The reversal of 1333433140 is 413343331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 599076 + 1332834064 = 774^2 + 36508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333433141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36894 + ... + 63466.

It is an arithmetic number, because the mean of its divisors is an integer number (63153111).

Almost surely, 21333433140 is an apocalyptic number.

1333433140 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 1333433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515674664).

1333433140 is an abundant number, since it is smaller than the sum of its proper divisors (1697916188).

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

1333433140 is a wasteful number, since it uses less digits than its factorization.

1333433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26788 (or 26786 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 1333433140 is about 36516.2038005048. The cubic root of 1333433140 is about 1100.6698784757.

Adding to 1333433140 its reverse (413343331), we get a palindrome (1746776471).

The spelling of 1333433140 in words is "one billion, three hundred thirty-three million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1930 2509 3860 5018 10036 12545 25090 26573 50180 53146 106292 132865 265730 345449 531460 690898 1381796 1727245 3454490 5128589 6908980 10257178 20514356 25642945 51285890 66671657 102571780 133343314 266686628 333358285 666716570 1333433140