| Base | Representation |
|---|---|
| bin | 1100001001111… |
| … | …11101101100000 |
| 3 | 21002212202102120 |
| 4 | 12010333231200 |
| 5 | 202101112312 |
| 6 | 14041344240 |
| 7 | 2345516613 |
| oct | 604775540 |
| 9 | 232782376 |
| 10 | 101972832 |
| 11 | 52619775 |
| 12 | 2a198080 |
| 13 | 18184770 |
| 14 | d78617a |
| 15 | 8e4428c |
| hex | 613fb60 |
101972832 has 96 divisors (see below), whose sum is σ = 291483360. Its totient is φ = 31027200.
The previous prime is 101972831. The next prime is 101972833. The reversal of 101972832 is 238279101.
It is an interprime number because it is at equal distance from previous prime (101972831) and next prime (101972833).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1019728322 = 20796916932200448, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 101972793 and 101972802.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101972831) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125644 + ... + 126452.
It is an arithmetic number, because the mean of its divisors is an integer number (3036285).
Almost surely, 2101972832 is an apocalyptic number.
101972832 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 101972832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145741680).
101972832 is an abundant number, since it is smaller than the sum of its proper divisors (189510528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101972832 is a wasteful number, since it uses less digits than its factorization.
101972832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 936 (or 928 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 33.
The square root of 101972832 is about 10098.1598323655. The cubic root of 101972832 is about 467.1913862020.
The spelling of 101972832 in words is "one hundred one million, nine hundred seventy-two thousand, eight hundred thirty-two".
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