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690165441 = 36721392
BaseRepresentation
bin101001001000110…
…001011011000001
31210002200001000000
4221020301123001
52403140243231
6152252350213
723050211100
oct5110613301
91702601000
10690165441
11324642569
12173175369
13acca7c24
1467938037
15408cd6e6
hex292316c1

690165441 has 63 divisors (see below), whose sum is σ = 1212439761. Its totient is φ = 391542984.

The previous prime is 690165391. The next prime is 690165449. The reversal of 690165441 is 144561096.

The square root of 690165441 is 26271.

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

It is a tau number, because it is divible by the number of its divisors (63).

It is a de Polignac number, because none of the positive numbers 2k-690165441 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 690165396 and 690165405.

It is not an unprimeable number, because it can be changed into a prime (690165449) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4965150 + ... + 4965288.

Almost surely, 2690165441 is an apocalyptic number.

690165441 is the 26271-st square number.

690165441 is the 13136-th centered octagonal number.

It is an amenable number.

690165441 is a deficient number, since it is larger than the sum of its proper divisors (522274320).

690165441 is an frugal number, since it uses more digits than its factorization.

690165441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 690165441 is about 883.7262111690.

Multiplying 690165441 by its sum of digits (36), we get a square (24845955876 = 1576262).

The spelling of 690165441 in words is "six hundred ninety million, one hundred sixty-five thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 139 147 189 243 417 441 567 729 973 1251 1323 1701 2919 3753 3969 5103 6811 8757 11259 11907 19321 20433 26271 33777 35721 57963 61299 78813 101331 135247 173889 183897 236439 405741 521667 551691 709317 946729 1217223 1565001 1655073 2840187 3651669 4695003 4965219 8520561 10955007 14085009 25561683 32865021 76685049 98595063 230055147 690165441