Search a number
-
+
54704000 = 275313263
BaseRepresentation
bin1101000010101…
…1011110000000
310210221020210002
43100223132000
5103001012000
65232255132
71232655611
oct320533600
9123836702
1054704000
1128973a1a
12163a14a8
13b444540
14739dc08
154c088d5
hex342b780

54704000 has 128 divisors (see below), whose sum is σ = 147026880. Its totient is φ = 20121600.

The previous prime is 54703991. The next prime is 54704017. The reversal of 54704000 is 40745.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 207869 + ... + 208131.

Almost surely, 254704000 is an apocalyptic number.

54704000 is a gapful number since it is divisible by the number (50) 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 54704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).

54704000 is an abundant number, since it is smaller than the sum of its proper divisors (92322880).

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

54704000 is a wasteful number, since it uses less digits than its factorization.

54704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 54704000 is about 7396.2152483551. The cubic root of 54704000 is about 379.6117919072.

Adding to 54704000 its reverse (40745), we get a palindrome (54744745).

The spelling of 54704000 in words is "fifty-four million, seven hundred four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 263 320 325 400 416 500 520 526 640 650 800 832 1000 1040 1052 1300 1315 1600 1625 1664 2000 2080 2104 2600 2630 3200 3250 3419 4000 4160 4208 5200 5260 6500 6575 6838 8000 8320 8416 10400 10520 13000 13150 13676 16000 16832 17095 20800 21040 26000 26300 27352 32875 33664 34190 41600 42080 52000 52600 54704 65750 68380 84160 85475 104000 105200 109408 131500 136760 168320 170950 208000 210400 218816 263000 273520 341900 420800 427375 437632 526000 547040 683800 841600 854750 1052000 1094080 1367600 1709500 2104000 2188160 2735200 3419000 4208000 5470400 6838000 10940800 13676000 27352000 54704000