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104542000 = 2453167313
BaseRepresentation
bin1100011101100…
…10111100110000
321021201021122221
412032302330300
5203230321000
614212410424
72406410113
oct616627460
9237637587
10104542000
1154013a52
122b016a14
1318873c94
14dc5457a
1592a061a
hex63b2f30

104542000 has 80 divisors (see below), whose sum is σ = 255108672. Its totient is φ = 41433600.

The previous prime is 104541991. The next prime is 104542001. The reversal of 104542000 is 245401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (104542001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333844 + ... + 334156.

Almost surely, 2104542000 is an apocalyptic number.

104542000 is a gapful number since it is divisible by the number (10) 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 104542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127554336).

104542000 is an abundant number, since it is smaller than the sum of its proper divisors (150566672).

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

104542000 is a wasteful number, since it uses less digits than its factorization.

104542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 104542000 is about 10224.5782309101. The cubic root of 104542000 is about 471.0824605482.

Adding to 104542000 its reverse (245401), we get a palindrome (104787401).

The spelling of 104542000 in words is "one hundred four million, five hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 167 200 250 313 334 400 500 626 668 835 1000 1252 1336 1565 1670 2000 2504 2672 3130 3340 4175 5008 6260 6680 7825 8350 12520 13360 15650 16700 20875 25040 31300 33400 39125 41750 52271 62600 66800 78250 83500 104542 125200 156500 167000 209084 261355 313000 334000 418168 522710 626000 836336 1045420 1306775 2090840 2613550 4181680 5227100 6533875 10454200 13067750 20908400 26135500 52271000 104542000