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104140410 = 235114143179
BaseRepresentation
bin1100011010100…
…00111001111010
321020221212210020
412031100321322
5203124443120
614200031310
72403115233
oct615207172
9236855706
10104140410
115386a260
122aa62536
131876325a
14db8c08a
159221640
hex6350e7a

104140410 has 128 divisors (see below), whose sum is σ = 287400960. Its totient is φ = 23923200.

The previous prime is 104140403. The next prime is 104140411. The reversal of 104140410 is 14041401.

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 104140410.

It is not an unprimeable number, because it can be changed into a prime (104140411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 581701 + ... + 581879.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2104140410 is an apocalyptic number.

104140410 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 104140410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480).

104140410 is an abundant number, since it is smaller than the sum of its proper divisors (183260550).

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

104140410 is a wasteful number, since it uses less digits than its factorization.

104140410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 104140410 is about 10204.9208718147. The cubic root of 104140410 is about 470.4784775675.

Adding to 104140410 its reverse (14041401), we get a palindrome (118181811).

Subtracting from 104140410 its reverse (14041401), we obtain a palindrome (90099009).

The spelling of 104140410 in words is "one hundred four million, one hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 43 55 66 82 86 110 123 129 165 179 205 215 246 258 330 358 410 430 451 473 537 615 645 895 902 946 1074 1230 1290 1353 1419 1763 1790 1969 2255 2365 2685 2706 2838 3526 3938 4510 4730 5289 5370 5907 6765 7095 7339 7697 8815 9845 10578 11814 13530 14190 14678 15394 17630 19393 19690 22017 23091 26445 29535 36695 38485 38786 44034 46182 52890 58179 59070 73390 76970 80729 84667 96965 110085 115455 116358 161458 169334 193930 220170 230910 242187 254001 290895 315577 403645 423335 484374 508002 581790 631154 807290 846670 946731 1210935 1270005 1577885 1893462 2421870 2540010 3155770 3471347 4733655 6942694 9467310 10414041 17356735 20828082 34713470 52070205 104140410