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420101472 = 25372632377
BaseRepresentation
bin11001000010100…
…011110101100000
31002021111100212210
4121002203311200
51330021221342
6105404122120
713260542430
oct3102436540
91067440783
10420101472
111a61554aa
12b8836340
136905bc6b
143db182c0
1526d3479c
hex190a3d60

420101472 has 96 divisors (see below), whose sum is σ = 1265628672. Its totient is φ = 119522304.

The previous prime is 420101459. The next prime is 420101483. The reversal of 420101472 is 274101024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 175548 + ... + 177924.

It is an arithmetic number, because the mean of its divisors is an integer number (13183632).

Almost surely, 2420101472 is an apocalyptic number.

420101472 is a gapful number since it is divisible by the number (42) 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 420101472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632814336).

420101472 is an abundant number, since it is smaller than the sum of its proper divisors (845527200).

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

420101472 is a wasteful number, since it uses less digits than its factorization.

420101472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 420101472 is about 20496.3770457122. The cubic root of 420101472 is about 748.9475442511.

Subtracting from 420101472 its product of nonzero digits (448), we obtain a palindrome (420101024).

Adding to 420101472 its reverse (274101024), we get a palindrome (694202496).

The spelling of 420101472 in words is "four hundred twenty million, one hundred one thousand, four hundred seventy-two".