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10067440 = 245612063
BaseRepresentation
bin100110011001…
…110111110000
3200221110221011
4212121313300
510034124230
6555440304
7151400065
oct46316760
920843834
1010067440
1157568a9
123456094
132116486
1414a0c6c
15d3ce2a
hex999df0

10067440 has 40 divisors (see below), whose sum is σ = 23802048. Its totient is φ = 3959040.

The previous prime is 10067429. The next prime is 10067471. The reversal of 10067440 is 4476001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3849 + ... + 5911.

Almost surely, 210067440 is an apocalyptic number.

10067440 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 10067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11901024).

10067440 is an abundant number, since it is smaller than the sum of its proper divisors (13734608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10067440 is a wasteful number, since it uses less digits than its factorization.

10067440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 10067440 is about 3172.9229426508. The cubic root of 10067440 is about 215.9267012380.

The spelling of 10067440 in words is "ten million, sixty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2063 2440 4126 4880 8252 10315 16504 20630 33008 41260 82520 125843 165040 251686 503372 629215 1006744 1258430 2013488 2516860 5033720 10067440