Search a number
-
+
19967472 = 243473171
BaseRepresentation
bin100110000101…
…0110111110000
31101120110020000
41030022313300
520102424342
61551550000
7331502130
oct114126760
941513200
1019967472
11102a8948
12682b300
1341a1695
14291aac0
151b4644c
hex130adf0

19967472 has 200 divisors, whose sum is σ = 69138432. Its totient is φ = 5443200.

The previous prime is 19967459. The next prime is 19967483. The reversal of 19967472 is 27476991.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281197 + ... + 281267.

Almost surely, 219967472 is an apocalyptic number.

19967472 is a gapful number since it is divisible by the number (12) 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 19967472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34569216).

19967472 is an abundant number, since it is smaller than the sum of its proper divisors (49170960).

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

19967472 is a wasteful number, since it uses less digits than its factorization.

19967472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 19967472 is about 4468.4977341384. The cubic root of 19967472 is about 271.2945241812.

The spelling of 19967472 in words is "nineteen million, nine hundred sixty-seven thousand, four hundred seventy-two".