Search a number
-
+
107048200 = 2352776463
BaseRepresentation
bin1100110000101…
…10110100001000
321110102121112011
412120112310020
5204401020300
614342225304
72436615610
oct630266410
9243377464
10107048200
1155475996
122ba25234
131924093c
1410307a40
1595e7eba
hex6616d08

107048200 has 48 divisors (see below), whose sum is σ = 284446080. Its totient is φ = 36701760.

The previous prime is 107048197. The next prime is 107048203. The reversal of 107048200 is 2840701.

It is an interprime number because it is at equal distance from previous prime (107048197) and next prime (107048203).

It is a super-2 number, since 2×1070482002 = 22918634246480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107048203) 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 11 ways as a sum of consecutive naturals, for example, 36832 + ... + 39631.

It is an arithmetic number, because the mean of its divisors is an integer number (5925960).

Almost surely, 2107048200 is an apocalyptic number.

107048200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107048200 is an abundant number, since it is smaller than the sum of its proper divisors (177397880).

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

107048200 is a wasteful number, since it uses less digits than its factorization.

107048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76486 (or 76477 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 107048200 is about 10346.4100054077. The cubic root of 107048200 is about 474.8172149900.

Adding to 107048200 its reverse (2840701), we get a palindrome (109888901).

The spelling of 107048200 in words is "one hundred seven million, forty-eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 76463 152926 305852 382315 535241 611704 764630 1070482 1529260 1911575 2140964 2676205 3058520 3823150 4281928 5352410 7646300 10704820 13381025 15292600 21409640 26762050 53524100 107048200