Search a number
-
+
1040635104 = 25341419631
BaseRepresentation
bin111110000001101…
…101010011100000
32200112010201222220
4332001231103200
54112400310404
6251132231040
734534152405
oct7601552340
92615121886
101040635104
11494458613
1225060b480
13137796b22
149c2c82ac
156155b4d9
hex3e06d4e0

1040635104 has 96 divisors (see below), whose sum is σ = 2809416960. Its totient is φ = 337075200.

The previous prime is 1040635103. The next prime is 1040635117. The reversal of 1040635104 is 4015360401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040635103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1648869 + ... + 1649499.

It is an arithmetic number, because the mean of its divisors is an integer number (29264760).

Almost surely, 21040635104 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 1040635104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404708480).

1040635104 is an abundant number, since it is smaller than the sum of its proper divisors (1768781856).

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

1040635104 is a wasteful number, since it uses less digits than its factorization.

1040635104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1040635104 is about 32258.8763598486. The cubic root of 1040635104 is about 1013.3655995420.

Adding to 1040635104 its reverse (4015360401), we get a palindrome (5055995505).

The spelling of 1040635104 in words is "one billion, forty million, six hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 419 492 631 656 838 984 1257 1262 1312 1676 1893 1968 2514 2524 3352 3786 3936 5028 5048 6704 7572 10056 10096 13408 15144 17179 20112 20192 25871 30288 34358 40224 51537 51742 60576 68716 77613 103074 103484 137432 155226 206148 206968 264389 274864 310452 412296 413936 528778 549728 620904 793167 824592 827872 1057556 1241808 1586334 1649184 2115112 2483616 3172668 4230224 6345336 8460448 10839949 12690672 21679898 25381344 32519847 43359796 65039694 86719592 130079388 173439184 260158776 346878368 520317552 1040635104