Search a number
-
+
1007025 = 35229463
BaseRepresentation
bin11110101110110110001
31220011101020
43311312301
5224211100
633330053
711362635
oct3656661
91804336
101007025
11628658
12406929
13293496
141c2dc5
1514d5a0
hexf5db1

1007025 has 24 divisors (see below), whose sum is σ = 1726080. Its totient is φ = 517440.

The previous prime is 1007023. The next prime is 1007047. The reversal of 1007025 is 5207001.

It is a happy number.

It is not a de Polignac number, because 1007025 - 21 = 1007023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

1007025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1006995 and 1007013.

It is not an unprimeable number, because it can be changed into a prime (1007021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1944 + ... + 2406.

It is an arithmetic number, because the mean of its divisors is an integer number (71920).

21007025 is an apocalyptic number.

1007025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007025 is a deficient number, since it is larger than the sum of its proper divisors (719055).

1007025 is a wasteful number, since it uses less digits than its factorization.

1007025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 1007025 is about 1003.5063527452. The cubic root of 1007025 is about 100.2336204565.

The spelling of 1007025 in words is "one million, seven thousand, twenty-five".

Divisors: 1 3 5 15 25 29 75 87 145 435 463 725 1389 2175 2315 6945 11575 13427 34725 40281 67135 201405 335675 1007025