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638741740 = 2257132315259
BaseRepresentation
bin100110000100100…
…110110011101100
31122111220102221111
4212010212303230
52302004213430
6143214241404
721554133550
oct4604466354
91574812844
10638741740
112a860a13a
12159ab6264
13a24417c0
1460b8d860
153b121c2a
hex26126cec

638741740 has 96 divisors (see below), whose sum is σ = 1722792960. Its totient is φ = 193349376.

The previous prime is 638741723. The next prime is 638741749. The reversal of 638741740 is 47147836.

It is a junction number, because it is equal to n+sod(n) for n = 638741693 and 638741702.

It is not an unprimeable number, because it can be changed into a prime (638741749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34231 + ... + 49489.

It is an arithmetic number, because the mean of its divisors is an integer number (17945760).

Almost surely, 2638741740 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 638741740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861396480).

638741740 is an abundant number, since it is smaller than the sum of its proper divisors (1084051220).

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

638741740 is a wasteful number, since it uses less digits than its factorization.

638741740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15311 (or 15309 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 638741740 is about 25273.3404994275. The cubic root of 638741740 is about 861.2087473737.

The spelling of 638741740 in words is "six hundred thirty-eight million, seven hundred forty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 91 92 115 130 140 161 182 230 260 299 322 364 455 460 598 644 805 910 1196 1495 1610 1820 2093 2990 3220 4186 5980 8372 10465 15259 20930 30518 41860 61036 76295 106813 152590 198367 213626 305180 350957 396734 427252 534065 701914 793468 991835 1068130 1388569 1403828 1754785 1983670 2136260 2456699 2777138 3509570 3967340 4562441 4913398 5554276 6942845 7019140 9124882 9826796 12283495 13885690 18249764 22812205 24566990 27771380 31937087 45624410 49133980 63874174 91248820 127748348 159685435 319370870 638741740