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405014104 = 2311271283
BaseRepresentation
bin11000001001000…
…000011001011000
31001020002211220101
4120021000121120
51312140422404
6104104505144
713015364065
oct3011003130
91036084811
10405014104
11198690100
12b377b1b4
1365ba8921
143bb0bc6c
15258542a4
hex18240658

405014104 has 72 divisors (see below), whose sum is σ = 856836540. Its totient is φ = 179317600.

The previous prime is 405014047. The next prime is 405014111. The reversal of 405014104 is 401410504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4879647 + ... + 4879729.

Almost surely, 2405014104 is an apocalyptic number.

405014104 is a gapful number since it is divisible by the number (44) 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 405014104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428418270).

405014104 is an abundant number, since it is smaller than the sum of its proper divisors (451822436).

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

405014104 is a wasteful number, since it uses less digits than its factorization.

405014104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 405014104 is about 20124.9622111446. The cubic root of 405014104 is about 739.8722107069.

Adding to 405014104 its reverse (401410504), we get a palindrome (806424608).

The spelling of 405014104 in words is "four hundred five million, fourteen thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 71 83 88 121 142 166 242 284 332 484 568 664 781 913 968 1562 1826 3124 3652 5041 5893 6248 7304 8591 10043 10082 11786 17182 20086 20164 23572 34364 40172 40328 47144 55451 64823 68728 80344 110902 129646 221804 259292 418403 443608 518584 609961 713053 836806 1219922 1426106 1673612 2439844 2852212 3347224 4602433 4879688 5704424 9204866 18409732 36819464 50626763 101253526 202507052 405014104