Search a number
-
+
1057148999 = 19251221671
BaseRepresentation
bin111111000000101…
…101000001000111
32201200012201210122
4333000231001013
54131112231444
6252522212155
735124422024
oct7700550107
92650181718
101057148999
114a2807765
1225605405b
1313b02956a
14a058654b
1562c1e4ee
hex3f02d047

1057148999 has 8 divisors (see below), whose sum is σ = 1117226880. Its totient is φ = 997515000.

The previous prime is 1057148987. The next prime is 1057149001. The reversal of 1057148999 is 9998417501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1057148999 is a prime.

It is a super-2 number, since 2×10571489992 = 2235128012173404002, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1057148999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057148929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106067 + ... + 115604.

It is an arithmetic number, because the mean of its divisors is an integer number (139653360).

Almost surely, 21057148999 is an apocalyptic number.

1057148999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1057148999 is a deficient number, since it is larger than the sum of its proper divisors (60077881).

1057148999 is a wasteful number, since it uses less digits than its factorization.

1057148999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221941.

The product of its (nonzero) digits is 816480, while the sum is 53.

The square root of 1057148999 is about 32513.8278121786. The cubic root of 1057148999 is about 1018.6978767466.

The spelling of 1057148999 in words is "one billion, fifty-seven million, one hundred forty-eight thousand, nine hundred ninety-nine".

Divisors: 1 19 251 4769 221671 4211749 55639421 1057148999