| Base | Representation |
|---|---|
| bin | 1100000101001… |
| … | …10110101010000 |
| 3 | 21001200221110021 |
| 4 | 12002212311100 |
| 5 | 201421043030 |
| 6 | 14020113224 |
| 7 | 2340301153 |
| oct | 602466520 |
| 9 | 231627407 |
| 10 | 101346640 |
| 11 | 5223125a |
| 12 | 29b35814 |
| 13 | 17cc5735 |
| 14 | d661c9a |
| 15 | 8d6d97a |
| hex | 60a6d50 |
101346640 has 40 divisors (see below), whose sum is σ = 237161160. Its totient is φ = 40275456.
The previous prime is 101346631. The next prime is 101346643. The reversal of 101346640 is 46643101.
It can be written as a sum of positive squares in 4 ways, for example, as 2383936 + 98962704 = 1544^2 + 9948^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-2 number, since 2×1013466402 = 20542282878579200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101346643) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8526 + ... + 16594.
It is an arithmetic number, because the mean of its divisors is an integer number (5929029).
Almost surely, 2101346640 is an apocalyptic number.
101346640 is a gapful number since it is divisible by the number (10) 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 101346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118580580).
101346640 is an abundant number, since it is smaller than the sum of its proper divisors (135814520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101346640 is a wasteful number, since it uses less digits than its factorization.
101346640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8239 (or 8233 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 25.
The square root of 101346640 is about 10067.1068336439. The cubic root of 101346640 is about 466.2331166156.
Adding to 101346640 its reverse (46643101), we get a palindrome (147989741).
The spelling of 101346640 in words is "one hundred one million, three hundred forty-six thousand, six hundred forty".
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