Search a number
-
+
104024310 = 23513436203
BaseRepresentation
bin1100011001101…
…00100011110110
321020201222112020
412030310203312
5203112234220
614153334010
72402122605
oct614644366
9236658466
10104024310
11537a0005
122aa07306
1318722460
14db5ba3c
1591ec040
hex63348f6

104024310 has 64 divisors (see below), whose sum is σ = 275159808. Its totient is φ = 25006464.

The previous prime is 104024299. The next prime is 104024311. The reversal of 104024310 is 13420401.

It is a super-2 number, since 2×1040243102 = 21642114141952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104024310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104024311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13669 + ... + 19871.

It is an arithmetic number, because the mean of its divisors is an integer number (4299372).

Almost surely, 2104024310 is an apocalyptic number.

104024310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104024310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137579904).

104024310 is an abundant number, since it is smaller than the sum of its proper divisors (171135498).

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

104024310 is a wasteful number, since it uses less digits than its factorization.

104024310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 104024310 is about 10199.2308533536. The cubic root of 104024310 is about 470.3035763217.

Adding to 104024310 its reverse (13420401), we get a palindrome (117444711).

The spelling of 104024310 in words is "one hundred four million, twenty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 195 215 258 390 430 559 645 1118 1290 1677 2795 3354 5590 6203 8385 12406 16770 18609 31015 37218 62030 80639 93045 161278 186090 241917 266729 403195 483834 533458 800187 806390 1209585 1333645 1600374 2419170 2667290 3467477 4000935 6934954 8001870 10402431 17337385 20804862 34674770 52012155 104024310