Search a number
-
+
1004441240 = 235119712351
BaseRepresentation
bin111011110111101…
…000111010011000
32121000000220100102
4323313220322120
54024114104430
6243400354532
733614416055
oct7367507230
92530026312
101004441240
11475a87630
12240475a48
1313013383a
149758602c
155d2ac345
hex3bde8e98

1004441240 has 64 divisors (see below), whose sum is σ = 2469035520. Its totient is φ = 364720000.

The previous prime is 1004441239. The next prime is 1004441267. The reversal of 1004441240 is 421444001.

It is a happy number.

It is a super-2 number, since 2×10044412402 = 2017804409225475200, which contains 22 as substring.

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

It is a congruent number.

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, 426065 + ... + 428415.

It is an arithmetic number, because the mean of its divisors is an integer number (38578680).

Almost surely, 21004441240 is an apocalyptic number.

1004441240 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 1004441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234517760).

1004441240 is an abundant number, since it is smaller than the sum of its proper divisors (1464594280).

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

1004441240 is a wasteful number, since it uses less digits than its factorization.

1004441240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1004441240 is about 31692.9209761423. The cubic root of 1004441240 is about 1001.4782271013.

Adding to 1004441240 its reverse (421444001), we get a palindrome (1425885241).

It can be divided in two parts, 1004 and 441240, that added together give a palindrome (442244).

The spelling of 1004441240 in words is "one billion, four million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 971 1942 2351 3884 4702 4855 7768 9404 9710 10681 11755 18808 19420 21362 23510 25861 38840 42724 47020 51722 53405 85448 94040 103444 106810 129305 206888 213620 258610 427240 517220 1034440 2282821 4565642 9131284 11414105 18262568 22828210 25111031 45656420 50222062 91312840 100444124 125555155 200888248 251110310 502220620 1004441240