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1004223040 = 2657342989
BaseRepresentation
bin111011110110110…
…011101001000000
32120222121211000221
4323312303221000
54024040114130
6243351552424
733612516652
oct7366635100
92528554027
101004223040
114759486a7
1224038b714
13130088422
149752a6d2
155d26787a
hex3bdb3a40

1004223040 has 56 divisors (see below), whose sum is σ = 2424120120. Its totient is φ = 396177408.

The previous prime is 1004223037. The next prime is 1004223067. The reversal of 1004223040 is 403224001.

It can be written as a sum of positive squares in 4 ways, for example, as 109495296 + 894727744 = 10464^2 + 29912^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1866 + ... + 44854.

Almost surely, 21004223040 is an apocalyptic number.

1004223040 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 1004223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212060060).

1004223040 is an abundant number, since it is smaller than the sum of its proper divisors (1419897080).

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

1004223040 is an equidigital number, since it uses as much as digits as its factorization.

1004223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43079 (or 43069 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1004223040 is about 31689.4783800554. The cubic root of 1004223040 is about 1001.4057030730.

Adding to 1004223040 its reverse (403224001), we get a palindrome (1407447041).

The spelling of 1004223040 in words is "one billion, four million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1460 2336 2920 4672 5840 11680 23360 42989 85978 171956 214945 343912 429890 687824 859780 1375648 1719560 2751296 3138197 3439120 6276394 6878240 12552788 13756480 15690985 25105576 31381970 50211152 62763940 100422304 125527880 200844608 251055760 502111520 1004223040