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690190200 = 233352719312
BaseRepresentation
bin101001001000110…
…111011101111000
31210002201021222000
4221020313131320
52403142041300
6152253101000
723050343220
oct5110673570
91702637860
10690190200
1132465a127
12173187760
13accb628b
1467943080
15408d5c00
hex29237778

690190200 has 576 divisors, whose sum is σ = 2955168000. Its totient is φ = 144633600.

The previous prime is 690190177. The next prime is 690190213. The reversal of 690190200 is 2091096.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22264185 + ... + 22264215.

It is an arithmetic number, because the mean of its divisors is an integer number (5130500).

Almost surely, 2690190200 is an apocalyptic number.

690190200 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 690190200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477584000).

690190200 is an abundant number, since it is smaller than the sum of its proper divisors (2264977800).

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

690190200 is a wasteful number, since it uses less digits than its factorization.

690190200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 690190200 is about 26271.4712187955. The cubic root of 690190200 is about 883.7367786427.

The spelling of 690190200 in words is "six hundred ninety million, one hundred ninety thousand, two hundred".