[go: up one dir, main page]

Search a number
-
+
542119630 = 2513173141193
BaseRepresentation
bin100000010100000…
…001011011001110
31101210002112022211
4200110001123032
52102240312010
6125443301034
716301640463
oct4024013316
91353075284
10542119630
11259015558
1213167a77a
1388411660
1451ddb66a
15328d808a
hex205016ce

542119630 has 128 divisors (see below), whose sum is σ = 1182698496. Its totient is φ = 176947200.

The previous prime is 542119583. The next prime is 542119651. The reversal of 542119630 is 36911245.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 542119592 and 542119601.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2808814 + ... + 2809006.

It is an arithmetic number, because the mean of its divisors is an integer number (9239832).

Almost surely, 2542119630 is an apocalyptic number.

542119630 is an abundant number, since it is smaller than the sum of its proper divisors (640578866).

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

542119630 is a wasteful number, since it uses less digits than its factorization.

542119630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 542119630 is about 23283.4625861361. The cubic root of 542119630 is about 815.3893681912.

The spelling of 542119630 in words is "five hundred forty-two million, one hundred nineteen thousand, six hundred thirty".

Divisors: 1 2 5 10 13 17 26 31 34 41 62 65 82 85 130 155 170 193 205 221 310 386 403 410 442 527 533 697 806 965 1054 1066 1105 1271 1394 1930 2015 2210 2509 2542 2635 2665 3281 3485 4030 5018 5270 5330 5983 6355 6562 6851 6970 7913 9061 11966 12545 12710 13702 15826 16405 16523 18122 21607 25090 29915 32810 33046 34255 39565 42653 43214 45305 59830 68510 77779 79130 82615 85306 90610 101711 102869 108035 134521 155558 165230 203422 205738 213265 216070 245303 269042 280891 388895 426530 490606 508555 514345 561782 672605 777790 1017110 1028690 1226515 1322243 1345210 1404455 1748773 2453030 2644486 2808910 3188939 3497546 4170151 6377878 6611215 8340302 8743865 13222430 15944695 17487730 20850755 31889390 41701510 54211963 108423926 271059815 542119630