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169130025 = 3452174
BaseRepresentation
bin10100001010010…
…11100000101001
3102210020200210000
422011023200221
5321244130100
624441013213
74122403311
oct1205134051
9383220700
10169130025
1187518989
1248784209
132906934c
1418668441
15ecac900
hexa14b829

169130025 has 75 divisors (see below), whose sum is σ = 332867491. Its totient is φ = 84896640.

The previous prime is 169129981. The next prime is 169130029. The reversal of 169130025 is 520031961.

The square root of 169130025 is 13005.

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

It can be written as a sum of positive squares in 7 ways, for example, as 18429849 + 150700176 = 4293^2 + 12276^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 169130025 - 27 = 169129897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (169130029) 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 74 ways as a sum of consecutive naturals, for example, 9948817 + ... + 9948833.

Almost surely, 2169130025 is an apocalyptic number.

169130025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

169130025 is the 13005-th square number.

169130025 is the 6503-rd centered octagonal number.

It is an amenable number.

169130025 is a deficient number, since it is larger than the sum of its proper divisors (163737466).

169130025 is an frugal number, since it uses more digits than its factorization.

169130025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 169130025 is about 553.0192357388.

Adding to 169130025 its reverse (520031961), we get a palindrome (689161986).

The spelling of 169130025 in words is "one hundred sixty-nine million, one hundred thirty thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 255 289 405 425 459 675 765 867 1275 1377 1445 2025 2295 2601 3825 4335 4913 6885 7225 7803 11475 13005 14739 21675 23409 24565 34425 39015 44217 65025 73695 83521 117045 122825 132651 195075 221085 250563 368475 397953 417605 585225 663255 751689 1105425 1252815 1989765 2088025 2255067 3316275 3758445 6264075 6765201 9948825 11275335 18792225 33826005 56376675 169130025