Search a number
-
+
1360004000 = 2553437907
BaseRepresentation
bin101000100010000…
…0000001110100000
310111210002100202112
41101010000032200
510241130112000
6342541334452
745462562145
oct12104001640
93453070675
101360004000
11638761153
1231b567428
131889b69c4
14cc8a03cc
157e5e4235
hex511003a0

1360004000 has 96 divisors (see below), whose sum is σ = 3419672256. Its totient is φ = 531283200.

The previous prime is 1360003987. The next prime is 1360004033. The reversal of 1360004000 is 4000631.

It is a super-2 number, since 2×13600040002 = 3699221760032000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168047 + ... + 175953.

It is an arithmetic number, because the mean of its divisors is an integer number (35621586).

Almost surely, 21360004000 is an apocalyptic number.

1360004000 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 1360004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709836128).

1360004000 is an abundant number, since it is smaller than the sum of its proper divisors (2059668256).

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

1360004000 is an equidigital number, since it uses as much as digits as its factorization.

1360004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975 (or 7957 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1360004000 is about 36878.2320617461. The cubic root of 1360004000 is about 1107.9327375573.

Adding to 1360004000 its reverse (4000631), we get a palindrome (1364004631).

The spelling of 1360004000 in words is "one billion, three hundred sixty million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 7907 8600 10750 15814 17200 21500 31628 34400 39535 43000 63256 79070 86000 126512 158140 172000 197675 253024 316280 340001 395350 632560 680002 790700 988375 1265120 1360004 1581400 1700005 1976750 2720008 3162800 3400010 3953500 5440016 6325600 6800020 7907000 8500025 10880032 13600040 15814000 17000050 27200080 31628000 34000100 42500125 54400160 68000200 85000250 136000400 170000500 272000800 340001000 680002000 1360004000