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638242140 = 223547892543
BaseRepresentation
bin100110000010101…
…100110101011100
31122110222001121210
4212002230311130
52301342222030
6143155424420
721546653154
oct4602546534
91573861553
10638242140
112a82a8848
121598b5110
13a22c8293
1460a9d764
153b073bb0
hex260acd5c

638242140 has 96 divisors (see below), whose sum is σ = 1846333440. Its totient is φ = 164640256.

The previous prime is 638242133. The next prime is 638242141. The reversal of 638242140 is 41242836.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 638242098 and 638242107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638242141) 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, 249709 + ... + 252251.

It is an arithmetic number, because the mean of its divisors is an integer number (19232640).

Almost surely, 2638242140 is an apocalyptic number.

638242140 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 638242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923166720).

638242140 is an abundant number, since it is smaller than the sum of its proper divisors (1208091300).

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

638242140 is a wasteful number, since it uses less digits than its factorization.

638242140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 638242140 is about 25263.4546331257. The cubic root of 638242140 is about 860.9841536714.

Adding to 638242140 its reverse (41242836), we get a palindrome (679484976).

The spelling of 638242140 in words is "six hundred thirty-eight million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 89 94 141 178 188 235 267 282 356 445 470 534 564 705 890 940 1068 1335 1410 1780 2543 2670 2820 4183 5086 5340 7629 8366 10172 12549 12715 15258 16732 20915 25098 25430 30516 38145 41830 50196 50860 62745 76290 83660 119521 125490 152580 226327 239042 250980 358563 452654 478084 597605 678981 717126 905308 1131635 1195210 1357962 1434252 1792815 2263270 2390420 2715924 3394905 3585630 4526540 6789810 7171260 10637369 13579620 21274738 31912107 42549476 53186845 63824214 106373690 127648428 159560535 212747380 319121070 638242140