Search a number
-
+
105995280 = 2435441647
BaseRepresentation
bin1100101000101…
…01110000010000
321101110010012010
412110111300100
5204113322110
614303502520
72424642066
oct624256020
9241403163
10105995280
1154916906
122b5b7a40
1318c62601
1410112036
15948b020
hex6515c10

105995280 has 40 divisors (see below), whose sum is σ = 328586112. Its totient is φ = 28265344.

The previous prime is 105995257. The next prime is 105995287. The reversal of 105995280 is 82599501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1059952802 = 22469998764556800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105995287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220584 + ... + 221063.

Almost surely, 2105995280 is an apocalyptic number.

105995280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105995280 is an abundant number, since it is smaller than the sum of its proper divisors (222590832).

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

105995280 is a wasteful number, since it uses less digits than its factorization.

105995280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441663 (or 441657 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 105995280 is about 10295.4009149717. The cubic root of 105995280 is about 473.2553244892.

The spelling of 105995280 in words is "one hundred five million, nine hundred ninety-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 441647 883294 1324941 1766588 2208235 2649882 3533176 4416470 5299764 6624705 7066352 8832940 10599528 13249410 17665880 21199056 26498820 35331760 52997640 105995280