Search a number
-
+
1053352305 = 325193074013
BaseRepresentation
bin111110110010001…
…110000101110001
32201102001211201100
4332302032011301
54124124233210
6252304555013
735050226655
oct7662160561
92642054640
101053352305
114a06541a5
12254922a69
1313a2ca3b5
149dc78a65
156271e5c0
hex3ec8e171

1053352305 has 48 divisors (see below), whose sum is σ = 1928646720. Its totient is φ = 530354304.

The previous prime is 1053352303. The next prime is 1053352337. The reversal of 1053352305 is 5032533501.

1053352305 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 352 + 305 = 666.

It is not a de Polignac number, because 1053352305 - 21 = 1053352303 is a prime.

It is a super-2 number, since 2×10533523052 = 2219102156897626050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053352303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260479 + ... + 264491.

It is an arithmetic number, because the mean of its divisors is an integer number (40180140).

Almost surely, 21053352305 is an apocalyptic number.

1053352305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053352305 is a deficient number, since it is larger than the sum of its proper divisors (875294415).

1053352305 is a wasteful number, since it uses less digits than its factorization.

1053352305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 1053352305 is about 32455.3894599957. The cubic root of 1053352305 is about 1017.4768809128.

Adding to 1053352305 its reverse (5032533501), we get a palindrome (6085885806).

The spelling of 1053352305 in words is "one billion, fifty-three million, three hundred fifty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 307 855 921 1535 2763 4013 4605 5833 12039 13815 17499 20065 29165 36117 52497 60195 76247 87495 180585 228741 262485 381235 686223 1143705 1231991 3431115 3695973 6159955 11087919 18479865 23407829 55439595 70223487 117039145 210670461 351117435 1053352305