Search a number
-
+
107210493 = 33133159167
BaseRepresentation
bin1100110001111…
…10011011111101
321110201212011000
412120332123331
5204421213433
614345520513
72441163015
oct630763375
9243655130
10107210493
1155576915
122baa3139
1319299780
141034ac45
15962b113
hex663e6fd

107210493 has 64 divisors (see below), whose sum is σ = 180633600. Its totient is φ = 62389440.

The previous prime is 107210491. The next prime is 107210513. The reversal of 107210493 is 394012701.

It is not a de Polignac number, because 107210493 - 21 = 107210491 is a prime.

It is a super-2 number, since 2×1072104932 = 22988179618606098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107210491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 641896 + ... + 642062.

It is an arithmetic number, because the mean of its divisors is an integer number (2822400).

Almost surely, 2107210493 is an apocalyptic number.

107210493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

107210493 is a deficient number, since it is larger than the sum of its proper divisors (73423107).

107210493 is a wasteful number, since it uses less digits than its factorization.

107210493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107210493 is about 10354.2499969819. The cubic root of 107210493 is about 475.0570465188.

It can be divided in two parts, 10 and 7210493, that added together give a triangular number (7210503 = T3797).

The spelling of 107210493 in words is "one hundred seven million, two hundred ten thousand, four hundred ninety-three".

Divisors: 1 3 9 13 27 31 39 59 93 117 167 177 279 351 403 501 531 767 837 1209 1503 1593 1829 2171 2301 3627 4509 5177 5487 6513 6903 9853 10881 15531 16461 19539 20709 23777 29559 46593 49383 58617 67301 71331 88677 128089 139779 201903 213993 266031 305443 384267 605709 641979 916329 1152801 1817127 2748987 3458403 3970759 8246961 11912277 35736831 107210493