Search a number
-
+
1001056375 = 53114991459
BaseRepresentation
bin111011101010101…
…110100001110111
32120202122221012001
4323222232201313
54022232301000
6243200040131
733543560464
oct7352564167
92522587161
101001056375
11474085520
1223b303047
1312c519c67
1496d4466b
155cd3e46a
hex3baae877

1001056375 has 32 divisors (see below), whose sum is σ = 1366560000. Its totient is φ = 726084000.

The previous prime is 1001056367. The next prime is 1001056379. The reversal of 1001056375 is 5736501001.

It is not a de Polignac number, because 1001056375 - 23 = 1001056367 is a prime.

It is a super-2 number, since 2×10010563752 = 2004227731856281250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001056379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685396 + ... + 686854.

It is an arithmetic number, because the mean of its divisors is an integer number (42705000).

Almost surely, 21001056375 is an apocalyptic number.

1001056375 is a deficient number, since it is larger than the sum of its proper divisors (365503625).

1001056375 is a wasteful number, since it uses less digits than its factorization.

1001056375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 1001056375 is about 31639.4749482352. The cubic root of 1001056375 is about 1000.3520010807.

Adding to 1001056375 its reverse (5736501001), we get a palindrome (6737557376).

The spelling of 1001056375 in words is "one billion, one million, fifty-six thousand, three hundred seventy-five".

Divisors: 1 5 11 25 55 125 275 499 1375 1459 2495 5489 7295 12475 16049 27445 36475 62375 80245 137225 182375 401225 686125 728041 2006125 3640205 8008451 18201025 40042255 91005125 200211275 1001056375