Search a number
-
+
838102140 = 223952129
BaseRepresentation
bin110001111101000…
…110110001111100
32011102001000000000
4301331012301330
53204023232030
6215055234300
726524515321
oct6175066174
92142030000
10838102140
113a00a55a7
121b4818990
13104833935
147d446b48
154d8a1860
hex31f46c7c

838102140 has 120 divisors (see below), whose sum is σ = 2641217040. Its totient is φ = 223388928.

The previous prime is 838102093. The next prime is 838102147. The reversal of 838102140 is 41201838.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838102147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 392596 + ... + 394724.

It is an arithmetic number, because the mean of its divisors is an integer number (22010142).

Almost surely, 2838102140 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 838102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320608520).

838102140 is an abundant number, since it is smaller than the sum of its proper divisors (1803114900).

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

838102140 is an equidigital number, since it uses as much as digits as its factorization.

838102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 838102140 is about 28949.9937823828. The cubic root of 838102140 is about 942.8276631869.

Adding to 838102140 its reverse (41201838), we get a palindrome (879303978).

The spelling of 838102140 in words is "eight hundred thirty-eight million, one hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2129 2187 2430 2916 3645 4258 4374 4860 6387 6561 7290 8516 8748 10645 10935 12774 13122 14580 19161 19683 21290 21870 25548 26244 31935 32805 38322 39366 42580 43740 57483 63870 65610 76644 78732 95805 98415 114966 127740 131220 172449 191610 196830 229932 287415 344898 383220 393660 517347 574830 689796 862245 1034694 1149660 1552041 1724490 2069388 2586735 3104082 3448980 4656123 5173470 6208164 7760205 9312246 10346940 13968369 15520410 18624492 23280615 27936738 31040820 41905107 46561230 55873476 69841845 83810214 93122460 139683690 167620428 209525535 279367380 419051070 838102140