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1331420640 = 253511252163
BaseRepresentation
bin100111101011011…
…1101110111100000
310102210022011202120
41033112331313200
510211320430030
6340040544240
744664613554
oct11726756740
93383264676
101331420640
11623609040
12311a82080
13182ab9784
14c8b7d864
157bd4a010
hex4f5bdde0

1331420640 has 96 divisors (see below), whose sum is σ = 4575263616. Its totient is φ = 322767360.

The previous prime is 1331420639. The next prime is 1331420669. The reversal of 1331420640 is 460241331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1331420640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120802 + ... + 131361.

It is an arithmetic number, because the mean of its divisors is an integer number (47658996).

Almost surely, 21331420640 is an apocalyptic number.

1331420640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331420640 is an abundant number, since it is smaller than the sum of its proper divisors (3243842976).

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

1331420640 is a wasteful number, since it uses less digits than its factorization.

1331420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252192 (or 252184 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1331420640 is about 36488.6371354152. The cubic root of 1331420640 is about 1100.1158665828.

Adding to 1331420640 its reverse (460241331), we get a palindrome (1791661971).

The spelling of 1331420640 in words is "one billion, three hundred thirty-one million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 252163 504326 756489 1008652 1260815 1512978 2017304 2521630 2773793 3025956 3782445 4034608 5043260 5547586 6051912 7564890 8069216 8321379 10086520 11095172 12103824 13868965 15129780 16642758 20173040 22190344 24207648 27737930 30259560 33285516 40346080 41606895 44380688 55475860 60519120 66571032 83213790 88761376 110951720 121038240 133142064 166427580 221903440 266284128 332855160 443806880 665710320 1331420640