Search a number
-
+
638101320 = 2335192391171
BaseRepresentation
bin100110000010001…
…010011101001000
31122110200220110020
4212002022131020
52301323220240
6143152420440
721545525463
oct4602123510
91573626406
10638101320
112a8211a6a
12159847720
13a227915c
1460a642da
153b0470d0
hex2608a748

638101320 has 128 divisors (see below), whose sum is σ = 2025216000. Its totient is φ = 160392960.

The previous prime is 638101309. The next prime is 638101357. The reversal of 638101320 is 23101836.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544335 + ... + 545505.

It is an arithmetic number, because the mean of its divisors is an integer number (15822000).

Almost surely, 2638101320 is an apocalyptic number.

638101320 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 638101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012608000).

638101320 is an abundant number, since it is smaller than the sum of its proper divisors (1387114680).

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

638101320 is a wasteful number, since it uses less digits than its factorization.

638101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1439 counting only the distinct ones).

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

The square root of 638101320 is about 25260.6674496142. The cubic root of 638101320 is about 860.9208272842.

The spelling of 638101320 in words is "six hundred thirty-eight million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 239 285 380 456 478 570 717 760 956 1140 1171 1195 1434 1912 2280 2342 2390 2868 3513 3585 4541 4684 4780 5736 5855 7026 7170 9082 9368 9560 11710 13623 14052 14340 17565 18164 22249 22705 23420 27246 28104 28680 35130 36328 44498 45410 46840 54492 66747 68115 70260 88996 90820 108984 111245 133494 136230 140520 177992 181640 222490 266988 272460 279869 333735 444980 533976 544920 559738 667470 839607 889960 1119476 1334940 1399345 1679214 2238952 2669880 2798690 3358428 4198035 5317511 5597380 6716856 8396070 10635022 11194760 15952533 16792140 21270044 26587555 31905066 33584280 42540088 53175110 63810132 79762665 106350220 127620264 159525330 212700440 319050660 638101320