Search a number
-
+
1072661025 = 35247304301
BaseRepresentation
bin111111111011111…
…000001000100001
32202202101211022010
4333323320020201
54144100123100
6254234503133
735403316422
oct7773701041
92682354263
101072661025
11500542117
1225b294aa9
131412cac87
14a2663649
1564285750
hex3fef8221

1072661025 has 24 divisors (see below), whose sum is σ = 1811205504. Its totient is φ = 559912000.

The previous prime is 1072661021. The next prime is 1072661059. The reversal of 1072661025 is 5201662701.

It is not a de Polignac number, because 1072661025 - 22 = 1072661021 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1072660983 and 1072661001.

It is not an unprimeable number, because it can be changed into a prime (1072661021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148626 + ... + 155675.

It is an arithmetic number, because the mean of its divisors is an integer number (75466896).

Almost surely, 21072661025 is an apocalyptic number.

1072661025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1072661025 is a deficient number, since it is larger than the sum of its proper divisors (738544479).

1072661025 is a wasteful number, since it uses less digits than its factorization.

1072661025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304361 (or 304356 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1072661025 is about 32751.5041639312. The cubic root of 1072661025 is about 1023.6563079080.

The spelling of 1072661025 in words is "one billion, seventy-two million, six hundred sixty-one thousand, twenty-five".

Divisors: 1 3 5 15 25 47 75 141 235 705 1175 3525 304301 912903 1521505 4564515 7607525 14302147 22822575 42906441 71510735 214532205 357553675 1072661025