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104433240 = 23353743547
BaseRepresentation
bin1100011100110…
…00011001011000
321021111202110210
412032120121120
5203213330430
614210211120
72405445042
oct616303130
9237452423
10104433240
1153a4a26a
122ab83aa0
1318836622
14dc26a92
15927d2b0
hex6398658

104433240 has 128 divisors (see below), whose sum is σ = 329852160. Its totient is φ = 26417664.

The previous prime is 104433233. The next prime is 104433247. The reversal of 104433240 is 42334401.

104433240 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (104433233) and next prime (104433247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104433247) 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, 190647 + ... + 191193.

It is an arithmetic number, because the mean of its divisors is an integer number (2576970).

Almost surely, 2104433240 is an apocalyptic number.

104433240 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 104433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164926080).

104433240 is an abundant number, since it is smaller than the sum of its proper divisors (225418920).

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

104433240 is a wasteful number, since it uses less digits than its factorization.

104433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 104433240 is about 10219.2582901109. The cubic root of 104433240 is about 470.9190407231.

Adding to 104433240 its reverse (42334401), we get a palindrome (146767641).

The spelling of 104433240 in words is "one hundred four million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 43 60 74 86 111 120 129 148 172 185 215 222 258 296 344 370 430 444 516 547 555 645 740 860 888 1032 1094 1110 1290 1480 1591 1641 1720 2188 2220 2580 2735 3182 3282 4376 4440 4773 5160 5470 6364 6564 7955 8205 9546 10940 12728 13128 15910 16410 19092 20239 21880 23521 23865 31820 32820 38184 40478 47042 47730 60717 63640 65640 70563 80956 94084 95460 101195 117605 121434 141126 161912 188168 190920 202390 235210 242868 282252 303585 352815 404780 470420 485736 564504 607170 705630 809560 870277 940840 1214340 1411260 1740554 2428680 2610831 2822520 3481108 4351385 5221662 6962216 8702770 10443324 13054155 17405540 20886648 26108310 34811080 52216620 104433240