Search a number
-
+
99971052 = 22340920369
BaseRepresentation
bin1011111010101…
…10111111101100
320222010001111120
411331112333230
5201043033202
613530420540
72322511536
oct575267754
9228101446
1099971052
1151481805
1229591750
131793358c
14d3c4856
158b9b0bc
hex5f56fec

99971052 has 24 divisors (see below), whose sum is σ = 233847600. Its totient is φ = 33240576.

The previous prime is 99971051. The next prime is 99971057. The reversal of 99971052 is 25017999.

It is a super-2 number, since 2×999710522 = 19988422475973408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99970995 and 99971013.

It is not an unprimeable number, because it can be changed into a prime (99971051) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5277 + ... + 15092.

It is an arithmetic number, because the mean of its divisors is an integer number (9743650).

Almost surely, 299971052 is an apocalyptic number.

It is an amenable number.

99971052 is an abundant number, since it is smaller than the sum of its proper divisors (133876548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99971052 is a wasteful number, since it uses less digits than its factorization.

99971052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20785 (or 20783 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The square root of 99971052 is about 9998.5524952365. The cubic root of 99971052 is about 464.1140908010.

The spelling of 99971052 in words is "ninety-nine million, nine hundred seventy-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 409 818 1227 1636 2454 4908 20369 40738 61107 81476 122214 244428 8330921 16661842 24992763 33323684 49985526 99971052