Search a number
-
+
10920680 = 235318807
BaseRepresentation
bin101001101010…
…001011101000
3202112211100122
4221222023220
510243430210
61030022412
7161552501
oct51521350
922484318
1010920680
116189961
1237a7a08
132354954
141643ba8
15e5ab55
hexa6a2e8

10920680 has 32 divisors (see below), whose sum is σ = 25367040. Its totient is φ = 4226880.

The previous prime is 10920673. The next prime is 10920731. The reversal of 10920680 is 8602901.

10920680 = T482 + T483 + ... + T561.

It is a super-2 number, since 2×109206802 = 238522503324800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3164 + ... + 5643.

It is an arithmetic number, because the mean of its divisors is an integer number (792720).

Almost surely, 210920680 is an apocalyptic number.

10920680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10920680 is an abundant number, since it is smaller than the sum of its proper divisors (14446360).

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

10920680 is a wasteful number, since it uses less digits than its factorization.

10920680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10920680 is about 3304.6452154505. The cubic root of 10920680 is about 221.8621550456.

The spelling of 10920680 in words is "ten million, nine hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 8807 17614 35228 44035 70456 88070 176140 273017 352280 546034 1092068 1365085 2184136 2730170 5460340 10920680