Search a number
-
+
189450540 = 223252367683
BaseRepresentation
bin10110100101011…
…00100100101100
3111012111002021200
423102230210230
5341444404130
630444325500
74460205636
oct1322544454
9435432250
10189450540
1197a37aa4
1253543890
1330332616
141b237a56
1511973760
hexb4ac92c

189450540 has 144 divisors (see below), whose sum is σ = 609493248. Its totient is φ = 47532672.

The previous prime is 189450529. The next prime is 189450551. The reversal of 189450540 is 45054981.

It is an interprime number because it is at equal distance from previous prime (189450529) and next prime (189450551).

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

It is a junction number, because it is equal to n+sod(n) for n = 189450495 and 189450504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277039 + ... + 277721.

It is an arithmetic number, because the mean of its divisors is an integer number (4232592).

Almost surely, 2189450540 is an apocalyptic number.

189450540 is a gapful number since it is divisible by the number (10) 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 189450540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304746624).

189450540 is an abundant number, since it is smaller than the sum of its proper divisors (420042708).

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

189450540 is a wasteful number, since it uses less digits than its factorization.

189450540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 189450540 is about 13764.1033126027. The cubic root of 189450540 is about 574.3349993239.

The spelling of 189450540 in words is "one hundred eighty-nine million, four hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 67 69 90 92 115 134 138 180 201 207 230 268 276 335 345 402 414 460 603 670 683 690 804 828 1005 1035 1206 1340 1366 1380 1541 2010 2049 2070 2412 2732 3015 3082 3415 4020 4098 4140 4623 6030 6147 6164 6830 7705 8196 9246 10245 12060 12294 13660 13869 15410 15709 18492 20490 23115 24588 27738 30735 30820 31418 40980 45761 46230 47127 55476 61470 62836 69345 78545 91522 92460 94254 122940 137283 138690 141381 157090 183044 188508 228805 235635 274566 277380 282762 314180 411849 457610 471270 549132 565524 686415 706905 823698 915220 942540 1052503 1372830 1413810 1647396 2059245 2105006 2745660 2827620 3157509 4118490 4210012 5262515 6315018 8236980 9472527 10525030 12630036 15787545 18945054 21050060 31575090 37890108 47362635 63150180 94725270 189450540