Base | Representation |
---|---|
bin | 1011111101110… |
… | …01111000000000 |
3 | 20222212122002000 |
4 | 11332321320000 |
5 | 201144013224 |
6 | 13543224000 |
7 | 2326116405 |
oct | 576717000 |
9 | 228778060 |
10 | 100376064 |
11 | 51729028 |
12 | 29748000 |
13 | 17a45a29 |
14 | d48c2ac |
15 | 8c2b0c9 |
hex | 5fb9e00 |
100376064 has 160 divisors (see below), whose sum is σ = 304935840. Its totient is φ = 32587776.
The previous prime is 100376027. The next prime is 100376093. The reversal of 100376064 is 460673001.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732604 + ... + 732740.
It is an arithmetic number, because the mean of its divisors is an integer number (1905849).
Almost surely, 2100376064 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152467920).
100376064 is an abundant number, since it is smaller than the sum of its proper divisors (204559776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100376064 is an equidigital number, since it uses as much as digits as its factorization.
100376064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 217 (or 195 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 100376064 is about 10018.7855551459. The cubic root of 100376064 is about 464.7400003327.
The spelling of 100376064 in words is "one hundred million, three hundred seventy-six thousand, sixty-four".
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