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240121420 = 225711413803
BaseRepresentation
bin11100100111111…
…11011001001100
3121201211102122221
432103333121030
5442432341140
635454345124
75643666310
oct1623773114
9551742587
10240121420
111135a6860
12684bb1a4
133a9941a6
1423c67b40
151613214a
hexe4ff64c

240121420 has 96 divisors (see below), whose sum is σ = 644184576. Its totient is φ = 72998400.

The previous prime is 240121391. The next prime is 240121433. The reversal of 240121420 is 24121042.

It is a junction number, because it is equal to n+sod(n) for n = 240121394 and 240121403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61239 + ... + 65041.

It is an arithmetic number, because the mean of its divisors is an integer number (6710256).

Almost surely, 2240121420 is an apocalyptic number.

240121420 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 240121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322092288).

240121420 is an abundant number, since it is smaller than the sum of its proper divisors (404063156).

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

240121420 is a wasteful number, since it uses less digits than its factorization.

240121420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 240121420 is about 15495.8517029559. The cubic root of 240121420 is about 621.5512835698.

Adding to 240121420 its reverse (24121042), we get a palindrome (264242462).

The spelling of 240121420 in words is "two hundred forty million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 55 70 77 82 110 140 154 164 205 220 287 308 385 410 451 574 770 820 902 1148 1435 1540 1804 2255 2870 3157 3803 4510 5740 6314 7606 9020 12628 15212 15785 19015 26621 31570 38030 41833 53242 63140 76060 83666 106484 133105 155923 167332 209165 266210 292831 311846 418330 532420 585662 623692 779615 836660 1091461 1171324 1464155 1559230 1715153 2182922 2928310 3118460 3430306 4365844 5457305 5856620 6860612 8575765 10914610 12006071 17151530 21829220 24012142 34303060 48024284 60030355 120060710 240121420