Search a number
-
+
107220940 = 225233173103
BaseRepresentation
bin1100110010000…
…00111111001100
321110202101110221
412121000333030
5204422032230
614350041124
72441235331
oct631007714
9243671427
10107220940
1155583752
122baa91a4
13192a1458
1410350988
15962e27a
hex6640fcc

107220940 has 96 divisors (see below), whose sum is σ = 248242176. Its totient is φ = 38776320.

The previous prime is 107220937. The next prime is 107220943. The reversal of 107220940 is 49022701.

It is an interprime number because it is at equal distance from previous prime (107220937) and next prime (107220943).

It is a super-2 number, since 2×1072209402 = 22992659948967200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107220943) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1040929 + ... + 1041031.

It is an arithmetic number, because the mean of its divisors is an integer number (2585856).

Almost surely, 2107220940 is an apocalyptic number.

107220940 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 107220940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124121088).

107220940 is an abundant number, since it is smaller than the sum of its proper divisors (141021236).

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

107220940 is a wasteful number, since it uses less digits than its factorization.

107220940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 107220940 is about 10354.7544635303. The cubic root of 107220940 is about 475.0724764755.

The spelling of 107220940 in words is "one hundred seven million, two hundred twenty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 73 92 103 115 124 146 155 206 230 292 310 365 412 460 515 620 713 730 1030 1426 1460 1679 2060 2263 2369 2852 3193 3358 3565 4526 4738 6386 6716 7130 7519 8395 9052 9476 11315 11845 12772 14260 15038 15965 16790 22630 23690 30076 31930 33580 37595 45260 47380 52049 63860 73439 75190 104098 146878 150380 172937 208196 233089 260245 293756 345874 367195 466178 520490 691748 734390 864685 932356 1040980 1165445 1468780 1729370 2330890 3458740 4661780 5361047 10722094 21444188 26805235 53610470 107220940