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405134040 = 233531108907
BaseRepresentation
bin11000001001011…
…101101011011000
31001020022221102110
4120021131223120
51312203242130
6104111232320
713016403543
oct3011355330
91036287373
10405134040
11198762223
12b38186a0
1365c1b3ac
143bb3d85a
1525879ab0
hex1825dad8

405134040 has 64 divisors (see below), whose sum is σ = 1254620160. Its totient is φ = 104549760.

The previous prime is 405134011. The next prime is 405134069. The reversal of 405134040 is 40431504.

It is an interprime number because it is at equal distance from previous prime (405134011) and next prime (405134069).

It is a junction number, because it is equal to n+sod(n) for n = 405133998 and 405134016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50734 + ... + 58173.

It is an arithmetic number, because the mean of its divisors is an integer number (19603440).

Almost surely, 2405134040 is an apocalyptic number.

405134040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405134040 is an abundant number, since it is smaller than the sum of its proper divisors (849486120).

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

405134040 is a wasteful number, since it uses less digits than its factorization.

405134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108952 (or 108948 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 405134040 is about 20127.9417725708. The cubic root of 405134040 is about 739.9452357817.

Adding to 405134040 its reverse (40431504), we get a palindrome (445565544).

The spelling of 405134040 in words is "four hundred five million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 108907 217814 326721 435628 544535 653442 871256 1089070 1306884 1633605 2178140 2613768 3267210 3376117 4356280 6534420 6752234 10128351 13068840 13504468 16880585 20256702 27008936 33761170 40513404 50641755 67522340 81026808 101283510 135044680 202567020 405134040