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19440072 = 2332270001
BaseRepresentation
bin100101000101…
…0000111001000
31100120122202200
41022022013020
514434040242
61532400200
7324144411
oct112120710
940518680
1019440072
11aa78683
126616060
134048602
142820808
151a9004c
hex128a1c8

19440072 has 24 divisors (see below), whose sum is σ = 52650390. Its totient is φ = 6480000.

The previous prime is 19440067. The next prime is 19440077. The reversal of 19440072 is 27004491.

It is a happy number.

19440072 is a `hidden beast` number, since 194 + 400 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (19440067) and next prime (19440077).

It can be written as a sum of positive squares in only one way, i.e., 16597476 + 2842596 = 4074^2 + 1686^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (19440077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134929 + ... + 135072.

Almost surely, 219440072 is an apocalyptic number.

19440072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19440072 is an abundant number, since it is smaller than the sum of its proper divisors (33210318).

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

19440072 is a wasteful number, since it uses less digits than its factorization.

19440072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270013 (or 270006 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 19440072 is about 4409.0897019680. The cubic root of 19440072 is about 268.8846167489.

The spelling of 19440072 in words is "nineteen million, four hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 270001 540002 810003 1080004 1620006 2160008 2430009 3240012 4860018 6480024 9720036 19440072