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1040712225 = 35272416907
BaseRepresentation
bin111110000010000…
…000001000100001
32200112021122210020
4332002000020201
54112410242400
6251134024053
734534623300
oct7602001041
92615248706
101040712225
11494500553
12250648029
131377c2c67
149c308437
15615742a0
hex3e080221

1040712225 has 72 divisors (see below), whose sum is σ = 2050681248. Its totient is φ = 464083200.

The previous prime is 1040712217. The next prime is 1040712227. The reversal of 1040712225 is 5222170401.

1040712225 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1040712225 - 23 = 1040712217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1040712195 and 1040712204.

It is not an unprimeable number, because it can be changed into a prime (1040712227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147222 + ... + 154128.

It is an arithmetic number, because the mean of its divisors is an integer number (28481684).

Almost surely, 21040712225 is an apocalyptic number.

1040712225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1040712225 is a deficient number, since it is larger than the sum of its proper divisors (1009969023).

1040712225 is a wasteful number, since it uses less digits than its factorization.

1040712225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1040712225 is about 32260.0716831194. The cubic root of 1040712225 is about 1013.3906322800.

Adding to 1040712225 its reverse (5222170401), we get a palindrome (6262882626).

The spelling of 1040712225 in words is "one billion, forty million, seven hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 41 49 75 105 123 147 175 205 245 287 525 615 735 861 1025 1225 1435 2009 3075 3675 4305 6027 6907 7175 10045 20721 21525 30135 34535 48349 50225 103605 145047 150675 172675 241745 283187 338443 518025 725235 849561 1015329 1208725 1415935 1692215 1982309 3626175 4247805 5076645 5946927 7079675 8461075 9911545 13876163 21239025 25383225 29734635 41628489 49557725 69380815 148673175 208142445 346904075 1040712225