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683676672 = 2103731793
BaseRepresentation
bin101000110000000…
…001010000000000
31202122110101002020
4220300001100000
52400010123142
6151501321440
722641104310
oct5060012000
91678411066
10683676672
11320a10448
12170b66280
13ab845613
1466b29440
154004acec
hex28c01400

683676672 has 88 divisors (see below), whose sum is σ = 2082634176. Its totient is φ = 195330048.

The previous prime is 683676659. The next prime is 683676683. The reversal of 683676672 is 276676386.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5608 + ... + 37400.

Almost surely, 2683676672 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 683676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041317088).

683676672 is an abundant number, since it is smaller than the sum of its proper divisors (1398957504).

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

683676672 is a wasteful number, since it uses less digits than its factorization.

683676672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31823 (or 31805 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The square root of 683676672 is about 26147.2115530509. The cubic root of 683676672 is about 880.9479591830.

The spelling of 683676672 in words is "six hundred eighty-three million, six hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 31793 63586 95379 127172 190758 222551 254344 381516 445102 508688 667653 763032 890204 1017376 1335306 1526064 1780408 2034752 2670612 3052128 3560816 4069504 5341224 6104256 7121632 8139008 10682448 12208512 14243264 16278016 21364896 24417024 28486528 32556032 42729792 48834048 56973056 85459584 97668096 113946112 170919168 227892224 341838336 683676672