Search a number
-
+
5477940 = 22325132341
BaseRepresentation
bin10100111001011000110100
3101022022022200
4110321120310
52400243230
6313224500
764363446
oct24713064
911268280
105477940
113101726
121a02130
13119a4b0
14a28496
15733160
hex539634

5477940 has 72 divisors (see below), whose sum is σ = 17902248. Its totient is φ = 1347840.

The previous prime is 5477929. The next prime is 5477951. The reversal of 5477940 is 497745.

It is a happy number.

5477940 is a `hidden beast` number, since 547 + 79 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5477929) and next prime (5477951).

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 5253264 = 474^2 + 2292^2 .

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 = 5477895 and 5477904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1170 + ... + 3510.

Almost surely, 25477940 is an apocalyptic number.

It is a pronic number, being equal to 2340×2341.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5477940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951124).

5477940 is an abundant number, since it is smaller than the sum of its proper divisors (12424308).

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

5477940 is a wasteful number, since it uses less digits than its factorization.

5477940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5477940 is about 2340.4999465926. The cubic root of 5477940 is about 176.2811021014.

The spelling of 5477940 in words is "five million, four hundred seventy-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 2341 4682 7023 9364 11705 14046 21069 23410 28092 30433 35115 42138 46820 60866 70230 84276 91299 105345 121732 140460 152165 182598 210690 273897 304330 365196 421380 456495 547794 608660 912990 1095588 1369485 1825980 2738970 5477940