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405689320 = 23510142233
BaseRepresentation
bin11000001011100…
…101001111101000
31001021101011010101
4120023211033220
51312324024240
6104131155144
713024205461
oct3013451750
91037334111
10405689320
11199001433
12b3a45ab4
136608406a
143bc45d68
152593939a
hex182e53e8

405689320 has 16 divisors (see below), whose sum is σ = 912801060. Its totient is φ = 162275712.

The previous prime is 405689287. The next prime is 405689327. The reversal of 405689320 is 23986504.

It can be written as a sum of positive squares in 2 ways, for example, as 405377956 + 311364 = 20134^2 + 558^2 .

It is a super-3 number, since 3×4056893203 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 405689320.

It is not an unprimeable number, because it can be changed into a prime (405689327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5071077 + ... + 5071156.

Almost surely, 2405689320 is an apocalyptic number.

405689320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405689320 is an abundant number, since it is smaller than the sum of its proper divisors (507111740).

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

405689320 is a wasteful number, since it uses less digits than its factorization.

405689320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142244 (or 10142240 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 405689320 is about 20141.7308094414. The cubic root of 405689320 is about 740.2831397639.

It can be divided in two parts, 405 and 689320, that added together give a triangular number (689725 = T1174).

The spelling of 405689320 in words is "four hundred five million, six hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 10142233 20284466 40568932 50711165 81137864 101422330 202844660 405689320