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55714100 = 225213172521
BaseRepresentation
bin1101010010001…
…0000100110100
310212211120101012
43110202010310
5103230322400
65310051352
71244363531
oct324420464
9125746335
1055714100
11294a3912
12167a9b58
13b709230
147583d88
154d57d35
hex3522134

55714100 has 72 divisors (see below), whose sum is σ = 137913048. Its totient is φ = 19353600.

The previous prime is 55714093. The next prime is 55714103. The reversal of 55714100 is 141755.

It can be written as a sum of positive squares in 12 ways, for example, as 37429924 + 18284176 = 6118^2 + 4276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55714103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20840 + ... + 23360.

It is an arithmetic number, because the mean of its divisors is an integer number (1915459).

Almost surely, 255714100 is an apocalyptic number.

55714100 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 55714100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68956524).

55714100 is an abundant number, since it is smaller than the sum of its proper divisors (82198948).

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

55714100 is a wasteful number, since it uses less digits than its factorization.

55714100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 55714100 is about 7464.1878325776. The cubic root of 55714100 is about 381.9340456110.

Adding to 55714100 its reverse (141755), we get a palindrome (55855855).

The spelling of 55714100 in words is "fifty-five million, seven hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 2521 4420 5042 5525 10084 11050 12605 22100 25210 32773 42857 50420 63025 65546 85714 126050 131092 163865 171428 214285 252100 327730 428570 557141 655460 819325 857140 1071425 1114282 1638650 2142850 2228564 2785705 3277300 4285700 5571410 11142820 13928525 27857050 55714100