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1330556740 = 225433134943
BaseRepresentation
bin100111101001110…
…1010111101000100
310102201200021201021
41033103222331010
510211110303430
6340010240524
744654355112
oct11723527504
93381607637
101330556740
11623078a77
12311726144
131828764a6
14c89d6ab2
157bc2907a
hex4f4eaf44

1330556740 has 48 divisors (see below), whose sum is σ = 2868864768. Its totient is φ = 518079744.

The previous prime is 1330556701. The next prime is 1330556749. The reversal of 1330556740 is 476550331.

It is a junction number, because it is equal to n+sod(n) for n = 1330556696 and 1330556705.

It is not an unprimeable number, because it can be changed into a prime (1330556749) 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, 266709 + ... + 271651.

It is an arithmetic number, because the mean of its divisors is an integer number (59768016).

Almost surely, 21330556740 is an apocalyptic number.

1330556740 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 1330556740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434432384).

1330556740 is an abundant number, since it is smaller than the sum of its proper divisors (1538308028).

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

1330556740 is a wasteful number, since it uses less digits than its factorization.

1330556740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5306 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 1330556740 is about 36476.7972826563. The cubic root of 1330556740 is about 1099.8778762493.

The spelling of 1330556740 in words is "one billion, three hundred thirty million, five hundred fifty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 313 430 626 860 1252 1565 3130 4943 6260 9886 13459 19772 24715 26918 49430 53836 67295 98860 134590 212549 269180 425098 850196 1062745 1547159 2125490 3094318 4250980 6188636 7735795 15471590 30943180 66527837 133055674 266111348 332639185 665278370 1330556740