Search a number
-
+
158508100 = 225212592
BaseRepresentation
bin10010111001010…
…10010001000100
3102001021001020101
421130222101010
5311034224400
623421213444
73633203512
oct1134522104
9361231211
10158508100
1181523533
1245101284
1326aba69a
14170a14b2
15ddb056a
hex972a444

158508100 has 27 divisors (see below), whose sum is σ = 344235997. Its totient is φ = 63352880.

The previous prime is 158508083. The next prime is 158508101. The reversal of 158508100 is 1805851.

The square root of 158508100 is 12590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57062916 + 101445184 = 7554^2 + 10072^2 .

It is a super-2 number, since 2×1585081002 = 50249635531220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (158508101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 125271 + ... + 126529.

Almost surely, 2158508100 is an apocalyptic number.

158508100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

158508100 is the 12590-th square number.

It is an amenable number.

158508100 is an abundant number, since it is smaller than the sum of its proper divisors (185727897).

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

158508100 is an equidigital number, since it uses as much as digits as its factorization.

158508100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

The cubic root of 158508100 is about 541.1909016362.

Multiplying 158508100 by its product of nonzero digits (1600), we get a square (253612960000 = 5036002).

The spelling of 158508100 in words is "one hundred fifty-eight million, five hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1259 2518 5036 6295 12590 25180 31475 62950 125900 1585081 3170162 6340324 7925405 15850810 31701620 39627025 79254050 158508100