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102044340 = 223351011871
BaseRepresentation
bin1100001010100…
…01001010110100
321010000101112000
412011101022310
5202110404330
614043055300
72346235236
oct605211264
9233011460
10102044340
1152668472
122a211530
13181ab188
14d7a4256
158e5a560
hex61512b4

102044340 has 96 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 26928000.

The previous prime is 102044339. The next prime is 102044347. The reversal of 102044340 is 43440201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102044347) 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 31 ways as a sum of consecutive naturals, for example, 53605 + ... + 55475.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2102044340 is an apocalyptic number.

102044340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

102044340 is an abundant number, since it is smaller than the sum of its proper divisors (218741580).

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

102044340 is a wasteful number, since it uses less digits than its factorization.

102044340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102044340 is about 10101.6998569548. The cubic root of 102044340 is about 467.3005659870.

Adding to 102044340 its reverse (43440201), we get a palindrome (145484541).

The spelling of 102044340 in words is "one hundred two million, forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 1871 2020 2727 3030 3636 3742 4545 5454 5613 6060 7484 9090 9355 10908 11226 13635 16839 18180 18710 22452 27270 28065 33678 37420 50517 54540 56130 67356 84195 101034 112260 168390 188971 202068 252585 336780 377942 505170 566913 755884 944855 1010340 1133826 1700739 1889710 2267652 2834565 3401478 3779420 5102217 5669130 6802956 8503695 10204434 11338260 17007390 20408868 25511085 34014780 51022170 102044340