Search a number
-
+
1058152953 = 311134994943
BaseRepresentation
bin111111000100100…
…010000111111001
32201202002201222010
4333010202013321
54131341343303
6252555520133
735136103014
oct7704420771
92652081863
101058152953
114a3332a80
12256459049
1313b2bb510
14a076837b
1562d6bc03
hex3f1221f9

1058152953 has 32 divisors (see below), whose sum is σ = 1661184000. Its totient is φ = 590667840.

The previous prime is 1058152937. The next prime is 1058152961. The reversal of 1058152953 is 3592518501.

It is not a de Polignac number, because 1058152953 - 24 = 1058152937 is a prime.

It is a super-2 number, since 2×10581529532 = 2239375343885240418, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1058152253) 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, 211600 + ... + 216542.

It is an arithmetic number, because the mean of its divisors is an integer number (51912000).

Almost surely, 21058152953 is an apocalyptic number.

1058152953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1058152953 is a deficient number, since it is larger than the sum of its proper divisors (603031047).

1058152953 is a wasteful number, since it uses less digits than its factorization.

1058152953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469.

The product of its (nonzero) digits is 54000, while the sum is 39.

The square root of 1058152953 is about 32529.2630257742. The cubic root of 1058152953 is about 1019.0202539534.

The spelling of 1058152953 in words is "one billion, fifty-eight million, one hundred fifty-two thousand, nine hundred fifty-three".

Divisors: 1 3 11 13 33 39 143 429 499 1497 4943 5489 6487 14829 16467 19461 54373 64259 71357 163119 192777 214071 706849 2120547 2466557 7399671 27132127 32065241 81396381 96195723 352717651 1058152953