Search a number
-
+
1040225104 = 241737412521
BaseRepresentation
bin111110000000001…
…001001101010000
32200111100220120201
4332000021031100
54112244200404
6251115344544
734530524152
oct7600111520
92614326521
101040225104
114941a8576
12250452154
13137682319
149c21cad2
15614c9ca4
hex3e009350

1040225104 has 80 divisors (see below), whose sum is σ = 2246012496. Its totient is φ = 464486400.

The previous prime is 1040225077. The next prime is 1040225111. The reversal of 1040225104 is 4015220401.

It can be written as a sum of positive squares in 8 ways, for example, as 82446400 + 957778704 = 9080^2 + 30948^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411364 + ... + 413884.

Almost surely, 21040225104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040225104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123006248).

1040225104 is an abundant number, since it is smaller than the sum of its proper divisors (1205787392).

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

1040225104 is a wasteful number, since it uses less digits than its factorization.

1040225104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1040225104 is about 32252.5208937224. The cubic root of 1040225104 is about 1013.2324966989.

Adding to 1040225104 its reverse (4015220401), we get a palindrome (5055445505).

The spelling of 1040225104 in words is "one billion, forty million, two hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 37 41 68 74 82 136 148 164 272 296 328 592 629 656 697 1258 1394 1517 2516 2521 2788 3034 5032 5042 5576 6068 10064 10084 11152 12136 20168 24272 25789 40336 42857 51578 85714 93277 103156 103361 171428 186554 206312 206722 342856 373108 412624 413444 685712 746216 826888 1492432 1585709 1653776 1757137 3171418 3514274 3824357 6342836 7028548 7648714 12685672 14057096 15297428 25371344 28114192 30594856 61189712 65014069 130028138 260056276 520112552 1040225104