Search a number
-
+
690633400 = 235211330559
BaseRepresentation
bin101001001010100…
…011101010111000
31210010112210220211
4221022203222320
52403300232100
6152310400504
723054200312
oct5112435270
91703483824
10690633400
11324932106
12173360134
13b010cc22
1467a1a7b2
15409721ba
hex292a3ab8

690633400 has 48 divisors (see below), whose sum is σ = 1619985600. Its totient is φ = 273799680.

The previous prime is 690633389. The next prime is 690633403. The reversal of 690633400 is 4336096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690633403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7321 + ... + 37879.

It is an arithmetic number, because the mean of its divisors is an integer number (33749700).

Almost surely, 2690633400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690633400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809992800).

690633400 is an abundant number, since it is smaller than the sum of its proper divisors (929352200).

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

690633400 is a wasteful number, since it uses less digits than its factorization.

690633400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30688 (or 30679 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 690633400 is about 26279.9048704519. The cubic root of 690633400 is about 883.9258996193.

Adding to 690633400 its reverse (4336096), we get a palindrome (694969496).

The spelling of 690633400 in words is "six hundred ninety million, six hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 22600 30559 61118 122236 152795 244472 305590 611180 763975 1222360 1527950 3055900 3453167 6111800 6906334 13812668 17265835 27625336 34531670 69063340 86329175 138126680 172658350 345316700 690633400