Search a number
-
+
24100020 = 22325731617
BaseRepresentation
bin101101111101…
…1110010110100
31200100102000100
41123323302310
522132200040
62220314100
7411563310
oct133736264
950312010
1024100020
111267077a
1280a2930
134cba689
1432b4b40
1521b0b30
hex16fbcb4

24100020 has 144 divisors (see below), whose sum is σ = 86381568. Its totient is φ = 5322240.

The previous prime is 24100019. The next prime is 24100031. The reversal of 24100020 is 2000142.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 24099975 and 24100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38752 + ... + 39368.

It is an arithmetic number, because the mean of its divisors is an integer number (599872).

Almost surely, 224100020 is an apocalyptic number.

24100020 is a gapful number since it is divisible by the number (20) 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 24100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43190784).

24100020 is an abundant number, since it is smaller than the sum of its proper divisors (62281548).

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

24100020 is a wasteful number, since it uses less digits than its factorization.

24100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 24100020 is about 4909.1771204551. The cubic root of 24100020 is about 288.8500637063.

Adding to 24100020 its reverse (2000142), we get a palindrome (26100162).

The spelling of 24100020 in words is "twenty-four million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 617 620 630 651 868 930 1085 1116 1234 1260 1302 1395 1851 1860 1953 2170 2468 2604 2790 3085 3255 3702 3906 4319 4340 5553 5580 6170 6510 7404 7812 8638 9255 9765 11106 12340 12957 13020 17276 18510 19127 19530 21595 22212 25914 27765 37020 38254 38871 39060 43190 51828 55530 57381 64785 76508 77742 86380 95635 111060 114762 129570 133889 155484 172143 191270 194355 229524 259140 267778 286905 344286 382540 388710 401667 535556 573810 669445 688572 777420 803334 860715 1147620 1205001 1338890 1606668 1721430 2008335 2410002 2677780 3442860 4016670 4820004 6025005 8033340 12050010 24100020