Search a number
-
+
102017384 = 2371995881
BaseRepresentation
bin1100001010010…
…10100101101000
321002222000112122
412011022211220
5202104024014
614042330412
72346063530
oct605124550
9232860478
10102017384
115264a197
122a1b9a08
131819bb21
14d7984c0
158e5258e
hex614a968

102017384 has 32 divisors (see below), whose sum is σ = 230116800. Its totient is φ = 41420160.

The previous prime is 102017381. The next prime is 102017387. The reversal of 102017384 is 483710201.

It is an interprime number because it is at equal distance from previous prime (102017381) and next prime (102017387).

It is not an unprimeable number, because it can be changed into a prime (102017381) 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 7 ways as a sum of consecutive naturals, for example, 46877 + ... + 49004.

It is an arithmetic number, because the mean of its divisors is an integer number (7191150).

Almost surely, 2102017384 is an apocalyptic number.

102017384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102017384 is an abundant number, since it is smaller than the sum of its proper divisors (128099416).

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

102017384 is a wasteful number, since it uses less digits than its factorization.

102017384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95913 (or 95909 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 102017384 is about 10100.3655379397. The cubic root of 102017384 is about 467.2594150410.

Adding to 102017384 its reverse (483710201), we get a palindrome (585727585).

The spelling of 102017384 in words is "one hundred two million, seventeen thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 95881 191762 383524 671167 767048 1342334 1821739 2684668 3643478 5369336 7286956 12752173 14573912 25504346 51008692 102017384