Search a number
-
+
1204363040 = 255291132297
BaseRepresentation
bin100011111001001…
…0001111100100000
310002221012222111112
41013302101330200
54431304104130
6315301402452
741562626336
oct10762217440
93087188445
101204363040
11568916861
12297409428
1316269136a
14b5d47b56
1570aed495
hex47c91f20

1204363040 has 96 divisors (see below), whose sum is σ = 2970762480. Its totient is φ = 460816384.

The previous prime is 1204363031. The next prime is 1204363063. The reversal of 1204363040 is 403634021.

It is a happy number.

1204363040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 170354704 + 1034008336 = 13052^2 + 32156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1204362997 and 1204363015.

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, 523172 + ... + 525468.

Almost surely, 21204363040 is an apocalyptic number.

1204363040 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 1204363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485381240).

1204363040 is an abundant number, since it is smaller than the sum of its proper divisors (1766399440).

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

1204363040 is a wasteful number, since it uses less digits than its factorization.

1204363040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 1204363040 is about 34703.9340709378. The cubic root of 1204363040 is about 1063.9449064130.

Adding to 1204363040 its reverse (403634021), we get a palindrome (1607997061).

The spelling of 1204363040 in words is "one billion, two hundred four million, three hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 113 116 145 160 226 232 290 452 464 565 580 904 928 1130 1160 1808 2260 2297 2320 3277 3616 4520 4594 4640 6554 9040 9188 11485 13108 16385 18080 18376 22970 26216 32770 36752 45940 52432 65540 66613 73504 91880 104864 131080 133226 183760 259561 262160 266452 333065 367520 519122 524320 532904 666130 1038244 1065808 1297805 1332260 2076488 2131616 2595610 2664520 4152976 5191220 5329040 7527269 8305952 10382440 10658080 15054538 20764880 30109076 37636345 41529760 60218152 75272690 120436304 150545380 240872608 301090760 602181520 1204363040