Search a number
-
+
55713400 = 23521631709
BaseRepresentation
bin1101010010000…
…1111001111000
310212211112102021
43110201321320
5103230312100
65310044224
71244361511
oct324417170
9125745367
1055713400
11294a3336
12167a9674
13b708b12
147583a08
154d57a1a
hex3521e78

55713400 has 48 divisors (see below), whose sum is σ = 130404600. Its totient is φ = 22135680.

The previous prime is 55713367. The next prime is 55713409. The reversal of 55713400 is 431755.

55713400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55713409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31746 + ... + 33454.

Almost surely, 255713400 is an apocalyptic number.

55713400 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 55713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65202300).

55713400 is an abundant number, since it is smaller than the sum of its proper divisors (74691200).

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

55713400 is a wasteful number, since it uses less digits than its factorization.

55713400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 55713400 is about 7464.1409418633. The cubic root of 55713400 is about 381.9324460461.

The spelling of 55713400 in words is "fifty-five million, seven hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 1304 1630 1709 3260 3418 4075 6520 6836 8150 8545 13672 16300 17090 32600 34180 42725 68360 85450 170900 278567 341800 557134 1114268 1392835 2228536 2785670 5571340 6964175 11142680 13928350 27856700 55713400