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842014530 = 232572431443
BaseRepresentation
bin110010001100000…
…001111101000010
32011200101202210100
4302030001331002
53211023431110
6215315143230
726603001600
oct6214017502
92150352710
10842014530
113a2327a85
121b5ba4b16
131055a3666
147db84870
154ddc5bc0
hex32301f42

842014530 has 144 divisors (see below), whose sum is σ = 2558335104. Its totient is φ = 191580480.

The previous prime is 842014517. The next prime is 842014549. The reversal of 842014530 is 35410248.

842014530 is a `hidden beast` number, since 8 + 4 + 201 + 453 + 0 = 666.

It is a super-2 number, since 2×8420145302 = 1417976937462241800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 842014494 and 842014503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1900489 + ... + 1900931.

It is an arithmetic number, because the mean of its divisors is an integer number (17766216).

Almost surely, 2842014530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842014530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279167552).

842014530 is an abundant number, since it is smaller than the sum of its proper divisors (1716320574).

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

842014530 is a wasteful number, since it uses less digits than its factorization.

842014530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 842014530 is about 29017.4866244477. The cubic root of 842014530 is about 944.2924745201.

Adding to 842014530 its reverse (35410248), we get a palindrome (877424778).

The spelling of 842014530 in words is "eight hundred forty-two million, fourteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 431 441 443 490 630 735 862 882 886 1293 1329 1470 2155 2205 2215 2586 2658 3017 3101 3879 3987 4310 4410 4430 6034 6202 6465 6645 7758 7974 9051 9303 12930 13290 15085 15505 18102 18606 19395 19935 21119 21707 27153 27909 30170 31010 38790 39870 42238 43414 45255 46515 54306 55818 63357 65121 90510 93030 105595 108535 126714 130242 135765 139545 190071 190933 195363 211190 217070 271530 279090 316785 325605 380142 381866 390726 572799 633570 651210 950355 954665 976815 1145598 1336531 1718397 1900710 1909330 1953630 2673062 2863995 3436794 4009593 5727990 6682655 8019186 8591985 9355717 12028779 13365310 17183970 18711434 20047965 24057558 28067151 40095930 46778585 56134302 60143895 84201453 93557170 120287790 140335755 168402906 280671510 421007265 842014530