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683190144 = 2732741319
BaseRepresentation
bin101000101110001…
…010011110000000
31202121112122200200
4220232022132000
52344344041034
6151443045200
722634010000
oct5056123600
91677478620
10683190144
1132070895a
12170970800
13ab705030
1466a40000
153eea1a99
hex28b8a780

683190144 has 480 divisors, whose sum is σ = 2599888200. Its totient is φ = 170698752.

The previous prime is 683190133. The next prime is 683190161. The reversal of 683190144 is 441091386.

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

It is a junction number, because it is equal to n+sod(n) for n = 683190099 and 683190108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35957367 + ... + 35957385.

Almost surely, 2683190144 is an apocalyptic number.

683190144 is a gapful number since it is divisible by the number (64) 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 683190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299944100).

683190144 is an abundant number, since it is smaller than the sum of its proper divisors (1916698056).

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

683190144 is a wasteful number, since it uses less digits than its factorization.

683190144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 683190144 is about 26137.9062665700. The cubic root of 683190144 is about 880.7389385661.

The spelling of 683190144 in words is "six hundred eighty-three million, one hundred ninety thousand, one hundred forty-four".