Search a number
-
+
10770620 = 2257107719
BaseRepresentation
bin101001000101…
…100010111100
3202021012111212
4221011202330
510224124440
61022503552
7160356140
oct51054274
922235455
1010770620
116097143
123734bb8
132301563
141605220
15e2b465
hexa458bc

10770620 has 48 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 3653184.

The previous prime is 10770583. The next prime is 10770631. The reversal of 10770620 is 2607701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14621 + ... + 15339.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 210770620 is an apocalyptic number.

10770620 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 10770620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

10770620 is an abundant number, since it is smaller than the sum of its proper divisors (15356740).

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

10770620 is a wasteful number, since it uses less digits than its factorization.

10770620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 10770620 is about 3281.8622762084. The cubic root of 10770620 is about 220.8412692848.

The spelling of 10770620 in words is "ten million, seven hundred seventy thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 719 749 1070 1438 1498 2140 2876 2996 3595 3745 5033 7190 7490 10066 14380 14980 20132 25165 50330 76933 100660 153866 307732 384665 538531 769330 1077062 1538660 2154124 2692655 5385310 10770620