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42053100 = 22352140177
BaseRepresentation
bin1010000001101…
…0110111101100
32221010112000020
42200122313230
541231144400
64101202140
71020305535
oct240326754
987115006
1042053100
1121813131
1212100350
1389351bb
14582968c
153a5a2a0
hex281adec

42053100 has 36 divisors (see below), whose sum is σ = 121674504. Its totient is φ = 11214080.

The previous prime is 42053093. The next prime is 42053107. The reversal of 42053100 is 135024.

42053100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42053093) and next prime (42053107).

It is a super-2 number, since 2×420531002 = 3536926439220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42053100.

It is not an unprimeable number, because it can be changed into a prime (42053107) 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, 69789 + ... + 70388.

Almost surely, 242053100 is an apocalyptic number.

It is an amenable number.

42053100 is an abundant number, since it is smaller than the sum of its proper divisors (79621404).

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

42053100 is a wasteful number, since it uses less digits than its factorization.

42053100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140194 (or 140187 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 42053100 is about 6484.8361583004. The cubic root of 42053100 is about 347.7490924913.

Adding to 42053100 its reverse (135024), we get a palindrome (42188124).

The spelling of 42053100 in words is "forty-two million, fifty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 140177 280354 420531 560708 700885 841062 1401770 1682124 2102655 2803540 3504425 4205310 7008850 8410620 10513275 14017700 21026550 42053100