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631680 = 2735747
BaseRepresentation
bin10011010001110000000
31012002111120
42122032000
5130203210
621312240
75240430
oct2321600
91162446
10631680
113a1655
12265680
1319169a
141262c0
15c7270
hex9a380

631680 has 128 divisors (see below), whose sum is σ = 2350080. Its totient is φ = 141312.

The previous prime is 631679. The next prime is 631681. The reversal of 631680 is 86136.

It is an interprime number because it is at equal distance from previous prime (631679) and next prime (631681).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 631680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13417 + ... + 13463.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2631680 is an apocalyptic number.

631680 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 631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175040).

631680 is an abundant number, since it is smaller than the sum of its proper divisors (1718400).

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

631680 is a wasteful number, since it uses less digits than its factorization.

631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 631680 is about 794.7829892493. The cubic root of 631680 is about 85.8023222458.

The spelling of 631680 in words is "six hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 47 48 56 60 64 70 80 84 94 96 105 112 120 128 140 141 160 168 188 192 210 224 235 240 280 282 320 329 336 376 384 420 448 470 480 560 564 640 658 672 705 752 840 896 940 960 987 1120 1128 1316 1344 1410 1504 1645 1680 1880 1920 1974 2240 2256 2632 2688 2820 3008 3290 3360 3760 3948 4480 4512 4935 5264 5640 6016 6580 6720 7520 7896 9024 9870 10528 11280 13160 13440 15040 15792 18048 19740 21056 22560 26320 30080 31584 39480 42112 45120 52640 63168 78960 90240 105280 126336 157920 210560 315840 631680