Search a number
-
+
5486940 = 223551129
BaseRepresentation
bin10100111011100101011100
3101022202200000
4110323211130
52401040230
6313334300
764431624
oct24734534
911282600
105486940
113108468
121a07390
1311a1614
14a2b884
15735b60
hex53b95c

5486940 has 72 divisors (see below), whose sum is σ = 17275440. Its totient is φ = 1461888.

The previous prime is 5486927. The next prime is 5486947. The reversal of 5486940 is 496845.

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 = 5486895 and 5486904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5486947) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4296 + ... + 5424.

Almost surely, 25486940 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 5486940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637720).

5486940 is an abundant number, since it is smaller than the sum of its proper divisors (11788500).

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

5486940 is a wasteful number, since it uses less digits than its factorization.

5486940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5486940 is about 2342.4218236688. The cubic root of 5486940 is about 176.3775898228.

The spelling of 5486940 in words is "five million, four hundred eighty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1129 1215 1620 2258 2430 3387 4516 4860 5645 6774 10161 11290 13548 16935 20322 22580 30483 33870 40644 50805 60966 67740 91449 101610 121932 152415 182898 203220 274347 304830 365796 457245 548694 609660 914490 1097388 1371735 1828980 2743470 5486940