Search a number
-
+
107949030 = 23573311553
BaseRepresentation
bin1100110111100…
…10101111100110
321112010101020020
412123302233212
5210113332110
614413420010
72450360130
oct633625746
9245111206
10107949030
1155a30782
123019a606
1319497987
14104a0050
159724d70
hex66f2be6

107949030 has 64 divisors (see below), whose sum is σ = 297174528. Its totient is φ = 24583680.

The previous prime is 107949019. The next prime is 107949041. The reversal of 107949030 is 30949701.

It is an interprime number because it is at equal distance from previous prime (107949019) and next prime (107949041).

It is a junction number, because it is equal to n+sod(n) for n = 107948982 and 107949000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68734 + ... + 70286.

It is an arithmetic number, because the mean of its divisors is an integer number (4643352).

Almost surely, 2107949030 is an apocalyptic number.

107949030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107949030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148587264).

107949030 is an abundant number, since it is smaller than the sum of its proper divisors (189225498).

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

107949030 is a wasteful number, since it uses less digits than its factorization.

107949030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 107949030 is about 10389.8522607398. The cubic root of 107949030 is about 476.1453872911.

The spelling of 107949030 in words is "one hundred seven million, nine hundred forty-nine thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 331 662 993 1553 1655 1986 2317 3106 3310 4634 4659 4965 6951 7765 9318 9930 10871 11585 13902 15530 21742 23170 23295 32613 34755 46590 54355 65226 69510 108710 163065 326130 514043 1028086 1542129 2570215 3084258 3598301 5140430 7196602 7710645 10794903 15421290 17991505 21589806 35983010 53974515 107949030