Search a number
-
+
690739200 = 21132521499
BaseRepresentation
bin101001001010111…
…101100000000000
31210010202012001100
4221022331200000
52403312123300
6152312534400
723055120624
oct5112754000
91703665040
10690739200
113249a4648
121733b1400
13b0149128
1467a47184
1540993700
hex292bd800

690739200 has 216 divisors, whose sum is σ = 2475427500. Its totient is φ = 184074240.

The previous prime is 690739193. The next prime is 690739201. The reversal of 690739200 is 2937096.

690739200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690739201) 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 17 ways as a sum of consecutive naturals, for example, 460051 + ... + 461549.

Almost surely, 2690739200 is an apocalyptic number.

690739200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237713750).

690739200 is an abundant number, since it is smaller than the sum of its proper divisors (1784688300).

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

690739200 is a wasteful number, since it uses less digits than its factorization.

690739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 690739200 is about 26281.9177382473. The cubic root of 690739200 is about 883.9710343150.

The spelling of 690739200 in words is "six hundred ninety million, seven hundred thirty-nine thousand, two hundred".