Search a number
-
+
106863460 = 22511617963
BaseRepresentation
bin1100101111010…
…01101101100100
321110002020002221
412113221231210
5204324112320
614334242124
72435216164
oct627515544
9243066087
10106863460
115535a110
122b956344
13191a7822
141029a5a4
1595ad3aa
hex65e9b64

106863460 has 48 divisors (see below), whose sum is σ = 248859072. Its totient is φ = 38217600.

The previous prime is 106863443. The next prime is 106863469. The reversal of 106863460 is 64368601.

It is a super-2 number, since 2×1068634602 = 22839598166343200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106863469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9439 + ... + 17401.

It is an arithmetic number, because the mean of its divisors is an integer number (5184564).

Almost surely, 2106863460 is an apocalyptic number.

106863460 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 106863460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124429536).

106863460 is an abundant number, since it is smaller than the sum of its proper divisors (141995612).

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

106863460 is a wasteful number, since it uses less digits than its factorization.

106863460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 106863460 is about 10337.4784159388. The cubic root of 106863460 is about 474.5439167910.

The spelling of 106863460 in words is "one hundred six million, eight hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 7963 13420 15926 31852 39815 79630 87593 159260 175186 350372 437965 485743 875930 971486 1751860 1942972 2428715 4857430 5343173 9714860 10686346 21372692 26715865 53431730 106863460