Search a number
-
+
110027680 = 2557313169
BaseRepresentation
bin1101000111011…
…10001110100000
321200000222121021
412203232032200
5211131341210
614530135224
72504135260
oct643561640
9250028537
10110027680
1157120474
1230a21514
1319a44b49
14108817a0
1599d5bda
hex68ee3a0

110027680 has 96 divisors (see below), whose sum is σ = 306754560. Its totient is φ = 36495360.

The previous prime is 110027657. The next prime is 110027707. The reversal of 110027680 is 86720011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33136 + ... + 36304.

It is an arithmetic number, because the mean of its divisors is an integer number (3195360).

Almost surely, 2110027680 is an apocalyptic number.

110027680 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 110027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153377280).

110027680 is an abundant number, since it is smaller than the sum of its proper divisors (196726880).

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

110027680 is a wasteful number, since it uses less digits than its factorization.

110027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 110027680 is about 10489.4079909211. The cubic root of 110027680 is about 479.1821721847.

Adding to 110027680 its reverse (86720011), we get a palindrome (196747691).

The spelling of 110027680 in words is "one hundred ten million, twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3169 3472 4340 4960 6338 6944 8680 12676 15845 17360 22183 25352 31690 34720 44366 50704 63380 88732 98239 101408 110915 126760 177464 196478 221830 253520 354928 392956 443660 491195 507040 687673 709856 785912 887320 982390 1375346 1571824 1774640 1964780 2750692 3143648 3438365 3549280 3929560 5501384 6876730 7859120 11002768 13753460 15718240 22005536 27506920 55013840 110027680