Search a number
-
+
8454119220 = 223251072631669
BaseRepresentation
bin1111101111110011…
…11001111100110100
3210211011220202100200
413313321321330310
5114303223303340
63514521040500
7416333553621
oct76771717464
923734822320
108454119220
113649147998
12177b326130
13a49652a11
145a2b19348
153472ee330
hex1f7e79f34

8454119220 has 144 divisors (see below), whose sum is σ = 25997811840. Its totient is φ = 2223537408.

The previous prime is 8454119147. The next prime is 8454119239. The reversal of 8454119220 is 229114548.

8454119220 is a `hidden beast` number, since 8 + 4 + 541 + 1 + 92 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5064546 + ... + 5066214.

It is an arithmetic number, because the mean of its divisors is an integer number (180540360).

Almost surely, 28454119220 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 8454119220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12998905920).

8454119220 is an abundant number, since it is smaller than the sum of its proper divisors (17543692620).

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

8454119220 is a wasteful number, since it uses less digits than its factorization.

8454119220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8454119220 is about 91946.2844273764. The cubic root of 8454119220 is about 2037.1489729624.

The spelling of 8454119220 in words is "eight billion, four hundred fifty-four million, one hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 263 321 428 526 535 642 789 963 1052 1070 1284 1315 1578 1605 1669 1926 2140 2367 2630 3156 3210 3338 3852 3945 4734 4815 5007 5260 6420 6676 7890 8345 9468 9630 10014 11835 15021 15780 16690 19260 20028 23670 25035 28141 30042 33380 47340 50070 56282 60084 75105 84423 100140 112564 140705 150210 168846 178583 253269 281410 300420 337692 357166 422115 438947 506538 535749 562820 714332 844230 877894 892915 1013076 1071498 1266345 1316841 1607247 1688460 1755788 1785830 2142996 2194735 2532690 2633682 2678745 3214494 3571660 3950523 4389470 5065380 5267364 5357490 6428988 6584205 7901046 8036235 8778940 10714980 13168410 15802092 16072470 19752615 26336820 32144940 39505230 46967329 79010460 93934658 140901987 187869316 234836645 281803974 422705961 469673290 563607948 704509935 845411922 939346580 1409019870 1690823844 2113529805 2818039740 4227059610 8454119220