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1356640300 = 225229677691
BaseRepresentation
bin101000011011100…
…1011000000101100
310111112202110122001
41100313023000230
510234244442200
6342341302044
745422152351
oct12067130054
93445673561
101356640300
11636873a34
1231a404924
131880a9952
14cc266628
157e17c76a
hex50dcb02c

1356640300 has 72 divisors (see below), whose sum is σ = 3054335760. Its totient is φ = 522412800.

The previous prime is 1356640217. The next prime is 1356640331. The reversal of 1356640300 is 30466531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1962955 + ... + 1963645.

It is an arithmetic number, because the mean of its divisors is an integer number (42421330).

Almost surely, 21356640300 is an apocalyptic number.

1356640300 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 1356640300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527167880).

1356640300 is an abundant number, since it is smaller than the sum of its proper divisors (1697695460).

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

1356640300 is a wasteful number, since it uses less digits than its factorization.

1356640300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 1356640300 is about 36832.5983335414. The cubic root of 1356640300 is about 1107.0185662167.

The spelling of 1356640300 in words is "one billion, three hundred fifty-six million, six hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 677 691 725 1354 1382 1450 2708 2764 2900 3385 3455 6770 6910 13540 13820 16925 17275 19633 20039 33850 34550 39266 40078 67700 69100 78532 80156 98165 100195 196330 200390 392660 400780 467807 490825 500975 935614 981650 1001950 1871228 1963300 2003900 2339035 4678070 9356140 11695175 13566403 23390350 27132806 46780700 54265612 67832015 135664030 271328060 339160075 678320150 1356640300