Search a number
-
+
10827680 = 255313759
BaseRepresentation
bin101001010011…
…011110100000
3202101002210012
4221103132200
510232441210
61024024052
7161014403
oct51233640
922332705
1010827680
116125aa6
123762028
132321516
14161bd3a
15e3d305
hexa537a0

10827680 has 96 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 4008960.

The previous prime is 10827679. The next prime is 10827689. The reversal of 10827680 is 8672801.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10827689) 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, 183491 + ... + 183549.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 210827680 is an apocalyptic number.

10827680 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 10827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

10827680 is an abundant number, since it is smaller than the sum of its proper divisors (16751200).

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

10827680 is a wasteful number, since it uses less digits than its factorization.

10827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 10827680 is about 3290.5440279686. The cubic root of 10827680 is about 221.2305695429.

The spelling of 10827680 in words is "ten million, eight hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 37 40 59 62 74 80 118 124 148 155 160 185 236 248 295 296 310 370 472 496 590 592 620 740 944 992 1147 1180 1184 1240 1480 1829 1888 2183 2294 2360 2480 2960 3658 4366 4588 4720 4960 5735 5920 7316 8732 9145 9176 9440 10915 11470 14632 17464 18290 18352 21830 22940 29264 34928 36580 36704 43660 45880 58528 67673 69856 73160 87320 91760 135346 146320 174640 183520 270692 292640 338365 349280 541384 676730 1082768 1353460 2165536 2706920 5413840 10827680