Search a number
-
+
102381675 = 35211193643
BaseRepresentation
bin1100001101000…
…11100001101011
321010122112020220
412012203201223
5202202203200
614054221123
72352141564
oct606434153
9233575226
10102381675
1152878960
122a3547a3
1318298896
14d85116b
158ec54a0
hex61a386b

102381675 has 48 divisors (see below), whose sum is σ = 185904768. Its totient is φ = 49305600.

The previous prime is 102381661. The next prime is 102381677. The reversal of 102381675 is 576183201.

It is not a de Polignac number, because 102381675 - 24 = 102381659 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (102381677) 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 47 ways as a sum of consecutive naturals, for example, 158904 + ... + 159546.

It is an arithmetic number, because the mean of its divisors is an integer number (3873016).

Almost surely, 2102381675 is an apocalyptic number.

102381675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102381675 is a deficient number, since it is larger than the sum of its proper divisors (83523093).

102381675 is a wasteful number, since it uses less digits than its factorization.

102381675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 102381675 is about 10118.3830229933. The cubic root of 102381675 is about 467.8149288319.

The spelling of 102381675 in words is "one hundred two million, three hundred eighty-one thousand, six hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 193 275 579 643 825 965 1929 2123 2895 3215 4825 6369 7073 9645 10615 14475 16075 21219 31845 35365 48225 53075 106095 124099 159225 176825 372297 530475 620495 1365089 1861485 3102475 4095267 6825445 9307425 20476335 34127225 102381675