Search a number
-
+
10907960 = 2357163239
BaseRepresentation
bin101001100111…
…000100111000
3202112011220112
4221213010320
510243023320
61025443452
7161500430
oct51470470
922464815
1010907960
116180348
1237a0588
13234bc1b
14163d2c0
15e56ec5
hexa67138

10907960 has 64 divisors (see below), whose sum is σ = 28339200. Its totient is φ = 3701376.

The previous prime is 10907951. The next prime is 10907969. The reversal of 10907960 is 6970901.

It is an interprime number because it is at equal distance from previous prime (10907951) and next prime (10907969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10907969) by changing a digit.

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, 45521 + ... + 45759.

It is an arithmetic number, because the mean of its divisors is an integer number (442800).

Almost surely, 210907960 is an apocalyptic number.

10907960 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 10907960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169600).

10907960 is an abundant number, since it is smaller than the sum of its proper divisors (17431240).

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

10907960 is a wasteful number, since it uses less digits than its factorization.

10907960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 10907960 is about 3302.7200910764. The cubic root of 10907960 is about 221.7759826641.

The spelling of 10907960 in words is "ten million, nine hundred seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 163 239 280 326 478 652 815 956 1141 1195 1304 1630 1673 1912 2282 2390 3260 3346 4564 4780 5705 6520 6692 8365 9128 9560 11410 13384 16730 22820 33460 38957 45640 66920 77914 155828 194785 272699 311656 389570 545398 779140 1090796 1363495 1558280 2181592 2726990 5453980 10907960