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404077140 = 223354118251
BaseRepresentation
bin11000000101011…
…011101001010100
31001011100020122000
4120011123221110
51311420432030
6104032435300
713004412315
oct3005335124
91034306560
10404077140
11198100155
12b33a8b30
136593b2cc
143b94660c
152571b860
hex1815ba54

404077140 has 96 divisors (see below), whose sum is σ = 1287861120. Its totient is φ = 105120000.

The previous prime is 404077109. The next prime is 404077147. The reversal of 404077140 is 41770404.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404077147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13015 + ... + 31265.

It is an arithmetic number, because the mean of its divisors is an integer number (13415220).

Almost surely, 2404077140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404077140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643930560).

404077140 is an abundant number, since it is smaller than the sum of its proper divisors (883783980).

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

404077140 is a wasteful number, since it uses less digits than its factorization.

404077140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18310 (or 18302 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 404077140 is about 20101.6700798715. The cubic root of 404077140 is about 739.3012273877.

The spelling of 404077140 in words is "four hundred four million, seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 18251 22140 36502 54753 73004 91255 109506 164259 182510 219012 273765 328518 365020 492777 547530 657036 748291 821295 985554 1095060 1496582 1642590 1971108 2244873 2463885 2993164 3285180 3741455 4489746 4927770 6734619 7482910 8979492 9855540 11224365 13469238 14965820 20203857 22448730 26938476 33673095 40407714 44897460 67346190 80815428 101019285 134692380 202038570 404077140