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690112900 = 2252372712
BaseRepresentation
bin101001001000100…
…100100110000100
31210002120100221001
4221020210212010
52403132103100
6152251303044
723046601651
oct5110444604
91702510831
10690112900
11324607044
1217314aa84
13acc8a039
1467922c28
15408bcd6a
hex29224984

690112900 has 81 divisors (see below), whose sum is σ = 1561096047. Its totient is φ = 264801600.

The previous prime is 690112877. The next prime is 690112919. The reversal of 690112900 is 9211096.

The square root of 690112900 is 26270.

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

690112900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65512836 + 624600064 = 8094^2 + 24992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9719865 + ... + 9719935.

Almost surely, 2690112900 is an apocalyptic number.

690112900 is the 26270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690112900

690112900 is an abundant number, since it is smaller than the sum of its proper divisors (870983147).

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

690112900 is a wasteful number, since it uses less digits than its factorization.

690112900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The cubic root of 690112900 is about 883.7037851271.

Adding to 690112900 its reverse (9211096), we get a palindrome (699323996).

The spelling of 690112900 in words is "six hundred ninety million, one hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 71 74 100 142 148 185 284 355 370 710 740 925 1369 1420 1775 1850 2627 2738 3550 3700 5041 5254 5476 6845 7100 10082 10508 13135 13690 20164 25205 26270 27380 34225 50410 52540 65675 68450 97199 100820 126025 131350 136900 186517 194398 252050 262700 373034 388796 485995 504100 746068 932585 971990 1865170 1943980 2429975 3730340 4662925 4859950 6901129 9325850 9719900 13802258 18651700 27604516 34505645 69011290 138022580 172528225 345056450 690112900