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405102681 = 3333294507
BaseRepresentation
bin11000001001010…
…110000001011001
31001020021100102000
4120021112001121
51312201241211
6104110431213
713016213244
oct3011260131
91036240360
10405102681
11198740705
12b3802509
1365c0a039
143bb3225b
1525870656
hex18256059

405102681 has 16 divisors (see below), whose sum is σ = 600465600. Its totient is φ = 269927424.

The previous prime is 405102589. The next prime is 405102683. The reversal of 405102681 is 186201504.

It is not a de Polignac number, because 405102681 - 29 = 405102169 is a prime.

It is a super-2 number, since 2×4051026812 = 328216364306775522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (405102683) 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, 87630 + ... + 92136.

It is an arithmetic number, because the mean of its divisors is an integer number (37529100).

Almost surely, 2405102681 is an apocalyptic number.

It is an amenable number.

405102681 is a deficient number, since it is larger than the sum of its proper divisors (195362919).

405102681 is a wasteful number, since it uses less digits than its factorization.

405102681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 405102681 is about 20127.1627657750. The cubic root of 405102681 is about 739.9261437125.

The spelling of 405102681 in words is "four hundred five million, one hundred two thousand, six hundred eighty-one".

Divisors: 1 3 9 27 3329 4507 9987 13521 29961 40563 89883 121689 15003803 45011409 135034227 405102681