Search a number
-
+
1821148140 = 2235737117191
BaseRepresentation
bin110110010001100…
…1000001111101100
311200220210220121010
41230203020033230
512212203220030
6500413305220
763062334540
oct15443101754
94626726533
101821148140
11854a99609
12429a95210
132303b5c66
14133c1da20
15a9d346b0
hex6c8c83ec

1821148140 has 96 divisors (see below), whose sum is σ = 5985229824. Its totient is φ = 405008640.

The previous prime is 1821148117. The next prime is 1821148141. The reversal of 1821148140 is 418411281.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1821148098 and 1821148107.

It is not an unprimeable number, because it can be changed into a prime (1821148141) 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, 43056 + ... + 74135.

It is an arithmetic number, because the mean of its divisors is an integer number (62346144).

Almost surely, 21821148140 is an apocalyptic number.

1821148140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1821148140 is an abundant number, since it is smaller than the sum of its proper divisors (4164081684).

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

1821148140 is a wasteful number, since it uses less digits than its factorization.

1821148140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117247 (or 117245 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 1821148140 is about 42674.9123021946. The cubic root of 1821148140 is about 1221.1858352641.

The spelling of 1821148140 in words is "one billion, eight hundred twenty-one million, one hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 15540 117191 234382 351573 468764 585955 703146 820337 1171910 1406292 1640674 1757865 2343820 2461011 3281348 3515730 4101685 4336067 4922022 7031460 8203370 8672134 9844044 12305055 13008201 16406740 17344268 21680335 24610110 26016402 30352469 43360670 49220220 52032804 60704938 65041005 86721340 91057407 121409876 130082010 151762345 182114814 260164020 303524690 364229628 455287035 607049380 910574070 1821148140