Search a number
-
+
1055077785 = 3357998929
BaseRepresentation
bin111110111000110…
…011010110011001
32201112022111122000
4332320303112121
54130044442120
6252405551213
735101004346
oct7670632631
92645274560
101055077785
114a1622613
12255415509
1313a7828a8
14a01a77cd
1562960990
hex3ee33599

1055077785 has 32 divisors (see below), whose sum is σ = 1899456000. Its totient is φ = 555579648.

The previous prime is 1055077753. The next prime is 1055077787. The reversal of 1055077785 is 5877705501.

1055077785 is a `hidden beast` number, since 10 + 550 + 7 + 7 + 7 + 85 = 666.

It is not a de Polignac number, because 1055077785 - 25 = 1055077753 is a prime.

It is a super-2 number, since 2×10550777852 = 2226378264801012450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1055077785.

It is not an unprimeable number, because it can be changed into a prime (1055077787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38800 + ... + 60129.

It is an arithmetic number, because the mean of its divisors is an integer number (59358000).

Almost surely, 21055077785 is an apocalyptic number.

1055077785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1055077785 is a deficient number, since it is larger than the sum of its proper divisors (844378215).

1055077785 is an equidigital number, since it uses as much as digits as its factorization.

1055077785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99022 (or 99016 counting only the distinct ones).

The product of its (nonzero) digits is 343000, while the sum is 45.

The square root of 1055077785 is about 32481.9609167920. The cubic root of 1055077785 is about 1018.0321488400.

The spelling of 1055077785 in words is "one billion, fifty-five million, seventy-seven thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 79 135 237 395 711 1185 2133 3555 10665 98929 296787 494645 890361 1483935 2671083 4451805 7815391 13355415 23446173 39076955 70338519 117230865 211015557 351692595 1055077785