Search a number
-
+
24124240 = 2457231873
BaseRepresentation
bin101110000000…
…1101101010000
31200101122020101
41130001231100
522133433430
62221022144
7412024030
oct134015520
950348211
1024124240
1112687998
1280b4954
134cc86ca
1432bd8c0
1521b7dca
hex1701b50

24124240 has 80 divisors (see below), whose sum is σ = 66924288. Its totient is φ = 7907328.

The previous prime is 24124229. The next prime is 24124267. The reversal of 24124240 is 4242142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11944 + ... + 13816.

Almost surely, 224124240 is an apocalyptic number.

24124240 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 24124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33462144).

24124240 is an abundant number, since it is smaller than the sum of its proper divisors (42800048).

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

24124240 is a wasteful number, since it uses less digits than its factorization.

24124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 24124240 is about 4911.6433095248. The cubic root of 24124240 is about 288.9467940030.

Adding to 24124240 its reverse (4242142), we get a palindrome (28366382).

The spelling of 24124240 in words is "twenty-four million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 1873 2576 3220 3746 6440 7492 9365 12880 13111 14984 18730 26222 29968 37460 43079 52444 65555 74920 86158 104888 131110 149840 172316 209776 215395 262220 301553 344632 430790 524440 603106 689264 861580 1048880 1206212 1507765 1723160 2412424 3015530 3446320 4824848 6031060 12062120 24124240