Search a number
-
+
10938760 = 235725581
BaseRepresentation
bin101001101110…
…100110001000
3202120202011021
4221232212020
510300020020
61030242224
7161656300
oct51564610
922522137
1010938760
1161a14a8
1237b6374
13235cc51
14164a600
15e611aa
hexa6e988

10938760 has 48 divisors (see below), whose sum is σ = 28635660. Its totient is φ = 3749760.

The previous prime is 10938751. The next prime is 10938773. The reversal of 10938760 is 6783901.

It can be written as a sum of positive squares in 2 ways, for example, as 10640644 + 298116 = 3262^2 + 546^2 .

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 11 ways as a sum of consecutive naturals, for example, 831 + ... + 4750.

Almost surely, 210938760 is an apocalyptic number.

10938760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10938760 is an abundant number, since it is smaller than the sum of its proper divisors (17696900).

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

10938760 is a wasteful number, since it uses less digits than its factorization.

10938760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 10938760 is about 3307.3796274392. The cubic root of 10938760 is about 221.9845239868.

The spelling of 10938760 in words is "ten million, nine hundred thirty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5581 11162 22324 27905 39067 44648 55810 78134 111620 156268 195335 223240 273469 312536 390670 546938 781340 1093876 1367345 1562680 2187752 2734690 5469380 10938760