Search a number
-
+
5182704 = 24353143
BaseRepresentation
bin10011110001010011110000
3100202022100000
4103301103300
52311321304
6303030000
762023632
oct23612360
910668300
105182704
112a1a92a
12189b300
1310c5cb7
1498ca52
156c5939
hex4f14f0

5182704 has 120 divisors (see below), whose sum is σ = 15887872. Its totient is φ = 1632960.

The previous prime is 5182699. The next prime is 5182717. The reversal of 5182704 is 4072815.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 120507 + ... + 120549.

Almost surely, 25182704 is an apocalyptic number.

5182704 is a gapful number since it is divisible by the number (54) 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 5182704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943936).

5182704 is an abundant number, since it is smaller than the sum of its proper divisors (10705168).

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

5182704 is a wasteful number, since it uses less digits than its factorization.

5182704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5182704 is about 2276.5552925418. Note that the first 3 decimals coincide. The cubic root of 5182704 is about 173.0555247391.

It can be divided in two parts, 5182 and 704, that added together give a triangular number (5886 = T108).

The spelling of 5182704 in words is "five million, one hundred eighty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 43 48 54 62 72 81 86 93 108 124 129 144 162 172 186 216 243 248 258 279 324 344 372 387 432 486 496 516 558 648 688 744 774 837 972 1032 1116 1161 1296 1333 1488 1548 1674 1944 2064 2232 2322 2511 2666 3096 3348 3483 3888 3999 4464 4644 5022 5332 6192 6696 6966 7533 7998 9288 10044 10449 10664 11997 13392 13932 15066 15996 18576 20088 20898 21328 23994 27864 30132 31992 35991 40176 41796 47988 55728 60264 63984 71982 83592 95976 107973 120528 143964 167184 191952 215946 287928 323919 431892 575856 647838 863784 1295676 1727568 2591352 5182704