Base | Representation |
---|---|
bin | 100000010000… |
… | …1011000100000 |
3 | 1011211022120200 |
4 | 1000201120200 |
5 | 13312221302 |
6 | 1402305200 |
7 | 263523546 |
oct | 100413040 |
9 | 34738520 |
10 | 16913952 |
11 | 9602780 |
12 | 57b8200 |
13 | 3672873 |
14 | 2363d96 |
15 | 174181c |
hex | 1021620 |
16913952 has 144 divisors (see below), whose sum is σ = 55429920. Its totient is φ = 4838400.
The previous prime is 16913951. The next prime is 16913977. The reversal of 16913952 is 25931961.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (16913951) 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, 60052 + ... + 60332.
It is an arithmetic number, because the mean of its divisors is an integer number (384930).
Almost surely, 216913952 is an apocalyptic number.
16913952 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 16913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27714960).
16913952 is an abundant number, since it is smaller than the sum of its proper divisors (38515968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16913952 is a wasteful number, since it uses less digits than its factorization.
16913952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 327 (or 316 counting only the distinct ones).
The product of its digits is 14580, while the sum is 36.
The square root of 16913952 is about 4112.6575349766. The cubic root of 16913952 is about 256.6935943713.
Subtracting 16913952 from its reverse (25931961), we obtain a square (9018009 = 30032).
The spelling of 16913952 in words is "sixteen million, nine hundred thirteen thousand, nine hundred fifty-two".
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