| Base | Representation |
|---|---|
| bin | 1100110011011… |
| … | …10010001100000 |
| 3 | 21111002210221000 |
| 4 | 12121232101200 |
| 5 | 204444001212 |
| 6 | 14354032000 |
| 7 | 2442640200 |
| oct | 631562140 |
| 9 | 244083830 |
| 10 | 107406432 |
| 11 | 556a0051 |
| 12 | 2bb78600 |
| 13 | 19337a03 |
| 14 | 1039c400 |
| 15 | 96691dc |
| hex | 666e460 |
107406432 has 288 divisors, whose sum is σ = 379209600. Its totient is φ = 29465856.
The previous prime is 107406371. The next prime is 107406437. The reversal of 107406432 is 234604701.
107406432 is a `hidden beast` number, since 10 + 7 + 4 + 0 + 643 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1074064322 = 23072283269941248, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 107406396 and 107406405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (107406437) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1820419 + ... + 1820477.
It is an arithmetic number, because the mean of its divisors is an integer number (1316700).
Almost surely, 2107406432 is an apocalyptic number.
107406432 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 107406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604800).
107406432 is an abundant number, since it is smaller than the sum of its proper divisors (271803168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107406432 is a wasteful number, since it uses less digits than its factorization.
107406432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 135 (or 114 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 107406432 is about 10363.7074447323. The cubic root of 107406432 is about 475.3462767721.
The spelling of 107406432 in words is "one hundred seven million, four hundred six thousand, four hundred thirty-two".
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