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102038340 = 22354141479
BaseRepresentation
bin1100001010011…
…11101101000100
321010000002021210
412011033231010
5202110211330
614043011420
72346211605
oct605175504
9233002253
10102038340
1152663a08
122a209b70
13181a8521
14d7a1dac
158e588b0
hex614fb44

102038340 has 48 divisors (see below), whose sum is σ = 292682880. Its totient is φ = 26545920.

The previous prime is 102038311. The next prime is 102038347. The reversal of 102038340 is 43830201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102038347) 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 15 ways as a sum of consecutive naturals, for example, 18280 + ... + 23199.

It is an arithmetic number, because the mean of its divisors is an integer number (6097560).

Almost surely, 2102038340 is an apocalyptic number.

102038340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102038340 is an abundant number, since it is smaller than the sum of its proper divisors (190644540).

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

102038340 is a wasteful number, since it uses less digits than its factorization.

102038340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41532 (or 41530 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 102038340 is about 10101.4028728687. The cubic root of 102038340 is about 467.2914070327.

Adding to 102038340 its reverse (43830201), we get a palindrome (145868541).

It can be divided in two parts, 102038 and 340, that added together give a triangular number (102378 = T452).

The spelling of 102038340 in words is "one hundred two million, thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 41479 82958 124437 165916 207395 248874 414790 497748 622185 829580 1244370 1700639 2488740 3401278 5101917 6802556 8503195 10203834 17006390 20407668 25509585 34012780 51019170 102038340