Search a number
-
+
54071100 = 22325273823
BaseRepresentation
bin1100111001000…
…0111100111100
310202202002121100
43032100330330
5102320233400
65210533100
71224411456
oct316207474
9122662540
1054071100
1128581466
1216137190
13b282445
1472772d6
154b31100
hex3390f3c

54071100 has 108 divisors (see below), whose sum is σ = 172013296. Its totient is φ = 14204160.

The previous prime is 54071047. The next prime is 54071111. The reversal of 54071100 is 117045.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65289 + ... + 66111.

Almost surely, 254071100 is an apocalyptic number.

54071100 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 54071100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86006648).

54071100 is an abundant number, since it is smaller than the sum of its proper divisors (117942196).

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

54071100 is a wasteful number, since it uses less digits than its factorization.

54071100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 54071100 is about 7353.3053792155. The cubic root of 54071100 is about 378.1421318195.

Adding to 54071100 its reverse (117045), we get a palindrome (54188145).

The spelling of 54071100 in words is "fifty-four million, seventy-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 73 75 90 100 146 150 180 219 225 292 300 365 438 450 657 730 823 876 900 1095 1314 1460 1646 1825 2190 2469 2628 3285 3292 3650 4115 4380 4938 5475 6570 7300 7407 8230 9876 10950 12345 13140 14814 16425 16460 20575 21900 24690 29628 32850 37035 41150 49380 60079 61725 65700 74070 82300 120158 123450 148140 180237 185175 240316 246900 300395 360474 370350 540711 600790 720948 740700 901185 1081422 1201580 1501975 1802370 2162844 2703555 3003950 3604740 4505925 5407110 6007900 9011850 10814220 13517775 18023700 27035550 54071100