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54107000 = 235361887
BaseRepresentation
bin1100111001100…
…1101101111000
310202210220211222
43032121231320
5102322411000
65211411212
71224621233
oct316315570
9122726758
1054107000
11285a6432
1216153b08
13b29589c
14728641a
154b3ba85
hex3399b78

54107000 has 64 divisors (see below), whose sum is σ = 128831040. Its totient is φ = 21264000.

The previous prime is 54106993. The next prime is 54107051. The reversal of 54107000 is 70145.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 54107000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60557 + ... + 61443.

It is an arithmetic number, because the mean of its divisors is an integer number (2012985).

Almost surely, 254107000 is an apocalyptic number.

54107000 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 54107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64415520).

54107000 is an abundant number, since it is smaller than the sum of its proper divisors (74724040).

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

54107000 is a wasteful number, since it uses less digits than its factorization.

54107000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 54107000 is about 7355.7460532566. The cubic root of 54107000 is about 378.2258012796.

Adding to 54107000 its reverse (70145), we get a palindrome (54177145).

The spelling of 54107000 in words is "fifty-four million, one hundred seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 887 1000 1220 1525 1774 2440 3050 3548 4435 6100 7096 7625 8870 12200 15250 17740 22175 30500 35480 44350 54107 61000 88700 108214 110875 177400 216428 221750 270535 432856 443500 541070 887000 1082140 1352675 2164280 2705350 5410700 6763375 10821400 13526750 27053500 54107000