Search a number
-
+
842230480 = 245713196089
BaseRepresentation
bin110010001100110…
…110101011010000
32011200210202000111
4302030312223100
53211102333410
6215323531104
726604561310
oct6214665320
92150722014
10842230480
113a2465253
121b6089a94
1310564aa40
147dbdd440
154de19b8a
hex32336ad0

842230480 has 160 divisors (see below), whose sum is σ = 2537337600. Its totient is φ = 252481536.

The previous prime is 842230469. The next prime is 842230481. The reversal of 842230480 is 84032248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842230481) 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, 135276 + ... + 141364.

It is an arithmetic number, because the mean of its divisors is an integer number (15858360).

Almost surely, 2842230480 is an apocalyptic number.

842230480 is a gapful number since it is divisible by the number (80) 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 842230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268668800).

842230480 is an abundant number, since it is smaller than the sum of its proper divisors (1695107120).

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

842230480 is a wasteful number, since it uses less digits than its factorization.

842230480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6141 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 842230480 is about 29021.2074180245. The cubic root of 842230480 is about 944.3731946352.

The spelling of 842230480 in words is "eight hundred forty-two million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 104 112 130 133 140 152 182 190 208 247 260 266 280 304 364 380 455 494 520 532 560 665 728 760 910 988 1040 1064 1235 1330 1456 1520 1729 1820 1976 2128 2470 2660 3458 3640 3952 4940 5320 6089 6916 7280 8645 9880 10640 12178 13832 17290 19760 24356 27664 30445 34580 42623 48712 60890 69160 79157 85246 97424 115691 121780 138320 158314 170492 213115 231382 243560 316628 340984 395785 426230 462764 487120 554099 578455 633256 681968 791570 809837 852460 925528 1108198 1156910 1266512 1503983 1583140 1619674 1704920 1851056 2216396 2313820 2770495 3007966 3166280 3239348 3409840 4049185 4432792 4627640 5540990 6015932 6332560 6478696 7519915 8098370 8865584 9255280 10527881 11081980 12031864 12957392 15039830 16196740 21055762 22163960 24063728 30079660 32393480 42111524 44327920 52639405 60159320 64786960 84223048 105278810 120318640 168446096 210557620 421115240 842230480