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681633200 = 24524189467
BaseRepresentation
bin101000101000001…
…110010110110000
31202111121112222002
4220220032112300
52343444230300
6151345433132
722614533543
oct5050162660
91674545862
10681633200
1131a845126
1217033b7a8
13ab2ab471
146675685a
153ec955d5
hex28a0e5b0

681633200 has 120 divisors (see below), whose sum is σ = 1700047440. Its totient is φ = 262451200.

The previous prime is 681633187. The next prime is 681633209. The reversal of 681633200 is 2336186.

It is not an unprimeable number, because it can be changed into a prime (681633209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459367 + ... + 1459833.

It is an arithmetic number, because the mean of its divisors is an integer number (14167062).

Almost surely, 2681633200 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 681633200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850023720).

681633200 is an abundant number, since it is smaller than the sum of its proper divisors (1018414240).

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

681633200 is a wasteful number, since it uses less digits than its factorization.

681633200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 681633200 is about 26108.1060209277. The cubic root of 681633200 is about 880.0693815820.

Adding to 681633200 its reverse (2336186), we get a palindrome (683969386).

The spelling of 681633200 in words is "six hundred eighty-one million, six hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 89 100 164 178 200 205 328 356 400 410 445 467 656 712 820 890 934 1025 1424 1640 1780 1868 2050 2225 2335 3280 3560 3649 3736 4100 4450 4670 7120 7298 7472 8200 8900 9340 11675 14596 16400 17800 18245 18680 19147 23350 29192 35600 36490 37360 38294 41563 46700 58384 72980 76588 83126 91225 93400 95735 145960 153176 166252 182450 186800 191470 207815 291920 306352 332504 364900 382940 415630 478675 665008 729800 765880 831260 957350 1039075 1459600 1531760 1662520 1704083 1914700 2078150 3325040 3408166 3829400 4156300 6816332 7658800 8312600 8520415 13632664 16625200 17040830 27265328 34081660 42602075 68163320 85204150 136326640 170408300 340816600 681633200