Search a number
-
+
1061053905 = 35475373389
BaseRepresentation
bin111111001111100…
…110010111010001
32201221120010022210
4333033212113101
54133112211110
6253142022333
735202544422
oct7717462721
92657503283
101061053905
114a4a3455a
122574179a9
1313ba95a62
14a0cc1649
1563241520
hex3f3e65d1

1061053905 has 64 divisors (see below), whose sum is σ = 1795322880. Its totient is φ = 534583296.

The previous prime is 1061053849. The next prime is 1061053919. The reversal of 1061053905 is 5093501601.

It is not a de Polignac number, because 1061053905 - 28 = 1061053649 is a prime.

It is a super-2 number, since 2×10610539052 = 2251670778631498050, which contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2727451 + ... + 2727839.

It is an arithmetic number, because the mean of its divisors is an integer number (28051920).

Almost surely, 21061053905 is an apocalyptic number.

1061053905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1061053905 is a deficient number, since it is larger than the sum of its proper divisors (734268975).

1061053905 is a wasteful number, since it uses less digits than its factorization.

1061053905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 1061053905 is about 32573.8223885377. The cubic root of 1061053905 is about 1019.9506271757.

The spelling of 1061053905 in words is "one billion, sixty-one million, fifty-three thousand, nine hundred five".

Divisors: 1 3 5 15 47 53 73 141 159 219 235 265 365 389 705 795 1095 1167 1945 2491 3431 3869 5835 7473 10293 11607 12455 17155 18283 19345 20617 28397 37365 51465 54849 58035 61851 85191 91415 103085 141985 181843 274245 309255 425955 545529 909215 968999 1334659 1505041 2727645 2906997 4003977 4515123 4844995 6673295 7525205 14534985 20019885 22575615 70736927 212210781 353684635 1061053905