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104455440 = 24335371307
BaseRepresentation
bin1100011100111…
…01110100010000
321021112212221000
412032131310100
5203220033230
614210502000
72405566545
oct616356420
9237485830
10104455440
1153a64a11
122ab94900
131884376b
14dc30bcc
159284b60
hex639dd10

104455440 has 160 divisors (see below), whose sum is σ = 369797760. Its totient is φ = 27081216.

The previous prime is 104455423. The next prime is 104455451. The reversal of 104455440 is 44554401.

104455440 is a `hidden beast` number, since 104 + 4 + 554 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 79267 + ... + 80573.

It is an arithmetic number, because the mean of its divisors is an integer number (2311236).

Almost surely, 2104455440 is an apocalyptic number.

104455440 is a gapful number since it is divisible by the number (10) 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 104455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184898880).

104455440 is an abundant number, since it is smaller than the sum of its proper divisors (265342320).

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

104455440 is a wasteful number, since it uses less digits than its factorization.

104455440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 104455440 is about 10220.3444168971. The cubic root of 104455440 is about 470.9524070536.

The spelling of 104455440 in words is "one hundred four million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 666 720 740 888 999 1080 1110 1307 1332 1480 1665 1776 1998 2160 2220 2614 2664 2960 3330 3921 3996 4440 4995 5228 5328 6535 6660 7842 7992 8880 9990 10456 11763 13070 13320 15684 15984 19605 19980 20912 23526 26140 26640 31368 35289 39210 39960 47052 48359 52280 58815 62736 70578 78420 79920 94104 96718 104560 117630 141156 145077 156840 176445 188208 193436 235260 241795 282312 290154 313680 352890 386872 435231 470520 483590 564624 580308 705780 725385 773744 870462 941040 967180 1160616 1305693 1411560 1450770 1740924 1934360 2176155 2321232 2611386 2823120 2901540 3481848 3868720 4352310 5222772 5803080 6528465 6963696 8704620 10445544 11606160 13056930 17409240 20891088 26113860 34818480 52227720 104455440