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2424102040 = 235314147681
BaseRepresentation
bin1001000001111100…
…1101110010011000
320020221101010212001
42100133031302120
514431032231130
61040312530344
7114033345613
oct22037156230
96227333761
102424102040
111034384818
125779b09b4
132c82a7209
1418dd3517a
15e2c376ca
hex907cdc98

2424102040 has 64 divisors (see below), whose sum is σ = 5767614720. Its totient is φ = 915456000.

The previous prime is 2424102019. The next prime is 2424102041. The reversal of 2424102040 is 402014242.

It is a junction number, because it is equal to n+sod(n) for n = 2424101999 and 2424102017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424102041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27000 + ... + 74680.

It is an arithmetic number, because the mean of its divisors is an integer number (90118980).

Almost surely, 22424102040 is an apocalyptic number.

2424102040 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 2424102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883807360).

2424102040 is an abundant number, since it is smaller than the sum of its proper divisors (3343512680).

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

2424102040 is a wasteful number, since it uses less digits than its factorization.

2424102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47764 (or 47760 counting only the distinct ones).

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

The square root of 2424102040 is about 49235.1707623727. The cubic root of 2424102040 is about 1343.3328412969.

Adding to 2424102040 its reverse (402014242), we get a palindrome (2826116282).

The spelling of 2424102040 in words is "two billion, four hundred twenty-four million, one hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 248 310 328 410 620 820 1240 1271 1640 2542 5084 6355 10168 12710 25420 47681 50840 95362 190724 238405 381448 476810 953620 1478111 1907240 1954921 2956222 3909842 5912444 7390555 7819684 9774605 11824888 14781110 15639368 19549210 29562220 39098420 59124440 60602551 78196840 121205102 242410204 303012755 484820408 606025510 1212051020 2424102040