Search a number
-
+
1004450240 = 2657939733
BaseRepresentation
bin111011110111101…
…011000111000000
32121000001100200202
4323313223013000
54024114401430
6243400504332
733614454233
oct7367530700
92530040622
101004450240
11475a93372
1224047b0a8
13130137971
149758941a
155d2aed45
hex3bdeb1c0

1004450240 has 56 divisors (see below), whose sum is σ = 2422184640. Its totient is φ = 396684288.

The previous prime is 1004450231. The next prime is 1004450243. The reversal of 1004450240 is 420544001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004450243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5414 + ... + 45146.

Almost surely, 21004450240 is an apocalyptic number.

1004450240 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 1004450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211092320).

1004450240 is an abundant number, since it is smaller than the sum of its proper divisors (1417734400).

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

1004450240 is an equidigital number, since it uses as much as digits as its factorization.

1004450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39829 (or 39819 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1004450240 is about 31693.0629633679. The cubic root of 1004450240 is about 1001.4812182426.

Adding to 1004450240 its reverse (420544001), we get a palindrome (1424994241).

The spelling of 1004450240 in words is "one billion, four million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 2528 3160 5056 6320 12640 25280 39733 79466 158932 198665 317864 397330 635728 794660 1271456 1589320 2542912 3138907 3178640 6277814 6357280 12555628 12714560 15694535 25111256 31389070 50222512 62778140 100445024 125556280 200890048 251112560 502225120 1004450240