Search a number
-
+
10067420 = 2251167683
BaseRepresentation
bin100110011001…
…110111011100
3200221110220102
4212121313130
510034124140
6555440232
7151400036
oct46316734
920843812
1010067420
115756890
123456078
13211646c
1414a0c56
15d3ce15
hex999ddc

10067420 has 48 divisors (see below), whose sum is σ = 23442048. Its totient is φ = 3600960.

The previous prime is 10067411. The next prime is 10067423. The reversal of 10067420 is 2476001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10067392 and 10067401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10067423) 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, 14399 + ... + 15081.

It is an arithmetic number, because the mean of its divisors is an integer number (488376).

Almost surely, 210067420 is an apocalyptic number.

10067420 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 10067420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721024).

10067420 is an abundant number, since it is smaller than the sum of its proper divisors (13374628).

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

10067420 is a wasteful number, since it uses less digits than its factorization.

10067420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10067420 is about 3172.9197909812. The cubic root of 10067420 is about 215.9265582511.

The spelling of 10067420 in words is "ten million, sixty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 683 737 1340 1366 1474 2732 2948 3415 3685 6830 7370 7513 13660 14740 15026 30052 37565 45761 75130 91522 150260 183044 228805 457610 503371 915220 1006742 2013484 2516855 5033710 10067420