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405040240 = 24511241843
BaseRepresentation
bin11000001001000…
…110110001110000
31001020011011202101
4120021012301300
51312142241430
6104105230144
713015533223
oct3011066160
91036134671
10405040240
111986a8800
12b3792354
1365bb77a7
143bb175ba
152585bdca
hex18246c70

405040240 has 60 divisors (see below), whose sum is σ = 1035136872. Its totient is φ = 147283840.

The previous prime is 405040217. The next prime is 405040241. The reversal of 405040240 is 42040504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405040241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11242 + ... + 30601.

Almost surely, 2405040240 is an apocalyptic number.

405040240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405040240 is an abundant number, since it is smaller than the sum of its proper divisors (630096632).

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

405040240 is a wasteful number, since it uses less digits than its factorization.

405040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41878 (or 41861 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 405040240 is about 20125.6115435035. The cubic root of 405040240 is about 739.8881252837. Note that the first 3 decimals are identical.

Adding to 405040240 its reverse (42040504), we get a palindrome (447080744).

The spelling of 405040240 in words is "four hundred five million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 41843 83686 167372 209215 334744 418430 460273 669488 836860 920546 1673720 1841092 2301365 3347440 3682184 4602730 5063003 7364368 9205460 10126006 18410920 20252012 25315015 36821840 40504024 50630030 81008048 101260060 202520120 405040240