Search a number
-
+
1330245504 = 2734718329
BaseRepresentation
bin100111101001001…
…1110111110000000
310102201002110210000
41033102132332000
510211020324004
6335555440000
744651620530
oct11722367600
93381073700
101330245504
11622986155
123115b6000
13182797923
14c89554c0
157bbb6c39
hex4f49ef80

1330245504 has 160 divisors (see below), whose sum is σ = 4524577200. Its totient is φ = 380049408.

The previous prime is 1330245479. The next prime is 1330245517. The reversal of 1330245504 is 4055420331.

1330245504 is a `hidden beast` number, since 133 + 0 + 24 + 5 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63412 + ... + 81740.

Almost surely, 21330245504 is an apocalyptic number.

1330245504 is a gapful number since it is divisible by the number (14) 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 1330245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262288600).

1330245504 is an abundant number, since it is smaller than the sum of its proper divisors (3194331696).

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

1330245504 is an equidigital number, since it uses as much as digits as its factorization.

1330245504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18362 (or 18341 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1330245504 is about 36472.5308142991. The cubic root of 1330245504 is about 1099.7921105756.

Adding to 1330245504 its reverse (4055420331), we get a palindrome (5385665835).

The spelling of 1330245504 in words is "one billion, three hundred thirty million, two hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 18329 24192 36288 36658 54987 72576 73316 109974 128303 146632 164961 219948 256606 293264 329922 384909 439896 494883 513212 586528 659844 769818 879792 989766 1026424 1154727 1173056 1319688 1484649 1539636 1759584 1979532 2052848 2309454 2346112 2639376 2969298 3079272 3464181 3519168 3959064 4105696 4618908 5278752 5938596 6158544 6928362 7038336 7918128 8211392 9237816 10392543 10557504 11877192 12317088 13856724 15836256 16422784 18475632 20785086 21115008 23754384 24634176 27713448 31672512 36951264 41570172 47508768 49268352 55426896 63345024 73902528 83140344 95017536 110853792 147805056 166280688 190035072 221707584 332561376 443415168 665122752 1330245504