Search a number
-
+
10706420 = 2251075003
BaseRepresentation
bin101000110101…
…110111110100
3202010221110002
4220311313310
510220101140
61021250432
7160001024
oct50656764
922127402
1010706420
11605298a
123703a18
1322ab27a
1415c9a84
15e17415
hexa35df4

10706420 has 24 divisors (see below), whose sum is σ = 22698144. Its totient is φ = 4241696.

The previous prime is 10706401. The next prime is 10706429. The reversal of 10706420 is 2460701.

It is a super-2 number, since 2×107064202 = 229254858432800, which contains 22 as substring.

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 = 10706392 and 10706401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10706429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362 + ... + 4641.

It is an arithmetic number, because the mean of its divisors is an integer number (945756).

Almost surely, 210706420 is an apocalyptic number.

10706420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10706420 is an abundant number, since it is smaller than the sum of its proper divisors (11991724).

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

10706420 is a wasteful number, since it uses less digits than its factorization.

10706420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5117 counting only the distinct ones).

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

The square root of 10706420 is about 3272.0666252386. The cubic root of 10706420 is about 220.4016080199.

The spelling of 10706420 in words is "ten million, seven hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140 5003 10006 20012 25015 50030 100060 535321 1070642 2141284 2676605 5353210 10706420