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19200420 = 22325106669
BaseRepresentation
bin100100100111…
…1100110100100
31100010111000200
41021033212210
514403403140
61523310500
7322125621
oct111174644
940114020
1019200420
11a924618
12651b430
133c934c5
14279b348
151a44030
hex124f9a4

19200420 has 36 divisors (see below), whose sum is σ = 58241820. Its totient is φ = 5120064.

The previous prime is 19200409. The next prime is 19200437. The reversal of 19200420 is 2400291.

It can be written as a sum of positive squares in 2 ways, for example, as 3896676 + 15303744 = 1974^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×192004202 = 737312256352800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 19200393 and 19200402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53155 + ... + 53514.

Almost surely, 219200420 is an apocalyptic number.

19200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19200420 is an abundant number, since it is smaller than the sum of its proper divisors (39041400).

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

19200420 is a wasteful number, since it uses less digits than its factorization.

19200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106684 (or 106679 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 19200420 is about 4381.8283855030. The cubic root of 19200420 is about 267.7751325314.

The spelling of 19200420 in words is "nineteen million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 106669 213338 320007 426676 533345 640014 960021 1066690 1280028 1600035 1920042 2133380 3200070 3840084 4800105 6400140 9600210 19200420