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1355469480 = 2332526913997
BaseRepresentation
bin101000011001010…
…1101001010101000
310111110112222120100
41100302231022220
510234000010410
6342300225400
745406205031
oct12062551250
93443488510
101355469480
11636144312
12319b3b260
13187a89a61
14cc03da88
157deea8c0
hex50cad2a8

1355469480 has 96 divisors (see below), whose sum is σ = 4421968200. Its totient is φ = 360089088.

The previous prime is 1355469461. The next prime is 1355469491. The reversal of 1355469480 is 849645531.

1355469480 is a `hidden beast` number, since 1 + 3 + 554 + 6 + 94 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 748241316 + 607228164 = 27354^2 + 24642^2 .

It is a super-2 number, since 2×13554694802 = 3674595022422940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 89842 + ... + 103838.

Almost surely, 21355469480 is an apocalyptic number.

1355469480 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 1355469480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210984100).

1355469480 is an abundant number, since it is smaller than the sum of its proper divisors (3066498720).

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

1355469480 is a wasteful number, since it uses less digits than its factorization.

1355469480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14283 (or 14276 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1355469480 is about 36816.7011015381. The cubic root of 1355469480 is about 1106.7000114951.

The spelling of 1355469480 in words is "one billion, three hundred fifty-five million, four hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 269 360 538 807 1076 1345 1614 2152 2421 2690 3228 4035 4842 5380 6456 8070 9684 10760 12105 13997 16140 19368 24210 27994 32280 41991 48420 55988 69985 83982 96840 111976 125973 139970 167964 209955 251946 279940 335928 419910 503892 559880 629865 839820 1007784 1259730 1679640 2519460 3765193 5038920 7530386 11295579 15060772 18825965 22591158 30121544 33886737 37651930 45182316 56477895 67773474 75303860 90364632 112955790 135546948 150607720 169433685 225911580 271093896 338867370 451823160 677734740 1355469480