[go: up one dir, main page]

Search a number
-
+
107122860 = 223251345779
BaseRepresentation
bin1100110001010…
…01000010101100
321110120101221100
412120221002230
5204410412420
614344003100
72440346355
oct630510254
9243511840
10107122860
1155516a99
122ba60490
1319268910
1410326d2c
159610190
hex66290ac

107122860 has 72 divisors (see below), whose sum is σ = 349942320. Its totient is φ = 26368128.

The previous prime is 107122853. The next prime is 107122861. The reversal of 107122860 is 68221701.

It is a super-2 number, since 2×1071228602 = 22950614269159200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107122861) 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 23 ways as a sum of consecutive naturals, for example, 20550 + ... + 25229.

It is an arithmetic number, because the mean of its divisors is an integer number (4860310).

Almost surely, 2107122860 is an apocalyptic number.

107122860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107122860 is an abundant number, since it is smaller than the sum of its proper divisors (242819460).

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

107122860 is a wasteful number, since it uses less digits than its factorization.

107122860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45807 (or 45802 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107122860 is about 10350.0173912897. The cubic root of 107122860 is about 474.9275752920.

The spelling of 107122860 in words is "one hundred seven million, one hundred twenty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 45779 91558 137337 183116 228895 274674 412011 457790 549348 595127 686685 824022 915580 1190254 1373370 1648044 1785381 2060055 2380508 2746740 2975635 3570762 4120110 5356143 5951270 7141524 8240220 8926905 10712286 11902540 17853810 21424572 26780715 35707620 53561430 107122860