Base | Representation |
---|---|
bin | 100110000110… |
… | …0001110111100 |
3 | 1101120201212200 |
4 | 1030030032330 |
5 | 20103114202 |
6 | 1552031500 |
7 | 331524321 |
oct | 114141674 |
9 | 41521780 |
10 | 19973052 |
11 | 10302060 |
12 | 6832590 |
13 | 41a4098 |
14 | 291cb48 |
15 | 1b47e1c |
hex | 130c3bc |
19973052 has 72 divisors (see below), whose sum is σ = 56888832. Its totient is φ = 5853600.
The previous prime is 19973029. The next prime is 19973059. The reversal of 19973052 is 25037991.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 19972998 and 19973016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (19973059) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11463 + ... + 13089.
Almost surely, 219973052 is an apocalyptic number.
19973052 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 19973052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28444416).
19973052 is an abundant number, since it is smaller than the sum of its proper divisors (36915780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19973052 is a wasteful number, since it uses less digits than its factorization.
19973052 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1679 (or 1674 counting only the distinct ones).
The product of its (nonzero) digits is 17010, while the sum is 36.
The square root of 19973052 is about 4469.1220614344. The cubic root of 19973052 is about 271.3197933198.
The spelling of 19973052 in words is "nineteen million, nine hundred seventy-three thousand, fifty-two".
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