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406885240 = 23553593253
BaseRepresentation
bin11000010000001…
…001001101111000
31001100121220121201
4120100021031320
51313130311430
6104212543544
713040316226
oct3020111570
91040556551
10406885240
111997489a3
12b4321bb4
13663b24c8
143c077b16
1525ac38ca
hex18409378

406885240 has 64 divisors (see below), whose sum is σ = 948866400. Its totient is φ = 156928512.

The previous prime is 406885223. The next prime is 406885243. The reversal of 406885240 is 42588604.

It is a self number, because there is not a number n which added to its sum of digits gives 406885240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406885243) 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 15 ways as a sum of consecutive naturals, for example, 123454 + ... + 126706.

Almost surely, 2406885240 is an apocalyptic number.

406885240 is a gapful number since it is divisible by the number (40) 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 406885240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474433200).

406885240 is an abundant number, since it is smaller than the sum of its proper divisors (541981160).

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

406885240 is a wasteful number, since it uses less digits than its factorization.

406885240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 406885240 is about 20171.3965803065. The cubic root of 406885240 is about 741.0098460182.

The spelling of 406885240 in words is "four hundred six million, eight hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 59 106 118 212 236 265 295 424 472 530 590 1060 1180 2120 2360 3127 3253 6254 6506 12508 13012 15635 16265 25016 26024 31270 32530 62540 65060 125080 130120 172409 191927 344818 383854 689636 767708 862045 959635 1379272 1535416 1724090 1919270 3448180 3838540 6896360 7677080 10172131 20344262 40688524 50860655 81377048 101721310 203442620 406885240