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404127640 = 23578916217
BaseRepresentation
bin11000000101100…
…111111110011000
31001011102210220101
4120011213332120
51311424041030
6104033505144
713005012460
oct3005477630
91034383811
10404127640
11198135094
12b34121b4
13659582a7
143b95aba0
152572b7ca
hex18167f98

404127640 has 64 divisors (see below), whose sum is σ = 1050926400. Its totient is φ = 136992768.

The previous prime is 404127629. The next prime is 404127649. The reversal of 404127640 is 46721404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 404127599 and 404127608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404127649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16812 + ... + 33028.

It is an arithmetic number, because the mean of its divisors is an integer number (16420725).

Almost surely, 2404127640 is an apocalyptic number.

404127640 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 404127640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525463200).

404127640 is an abundant number, since it is smaller than the sum of its proper divisors (646798760).

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

404127640 is a wasteful number, since it uses less digits than its factorization.

404127640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16324 (or 16320 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 404127640 is about 20102.9261551646. The cubic root of 404127640 is about 739.3320244420.

The spelling of 404127640 in words is "four hundred four million, one hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2492 3115 3560 4984 6230 12460 16217 24920 32434 64868 81085 113519 129736 162170 227038 324340 454076 567595 648680 908152 1135190 1443313 2270380 2886626 4540760 5773252 7216565 10103191 11546504 14433130 20206382 28866260 40412764 50515955 57732520 80825528 101031910 202063820 404127640