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104781040 = 24571337389
BaseRepresentation
bin1100011111011…
…01010011110000
321022011102120021
412033231103300
5203310443130
614221453224
72411424040
oct617552360
9238142507
10104781040
1154167601
122b111214
1318928a20
14dcb7720
1592eb37a
hex63ed4f0

104781040 has 160 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 32182272.

The previous prime is 104781037. The next prime is 104781043. The reversal of 104781040 is 40187401.

It is an interprime number because it is at equal distance from previous prime (104781037) and next prime (104781043).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 104780996 and 104781014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104781043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269166 + ... + 269554.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 2104781040 is an apocalyptic number.

104781040 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 104781040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

104781040 is an abundant number, since it is smaller than the sum of its proper divisors (203949200).

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

104781040 is a wasteful number, since it uses less digits than its factorization.

104781040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 104781040 is about 10236.2610361401. The cubic root of 104781040 is about 471.4412376675.

The spelling of 104781040 in words is "one hundred four million, seven hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 37 40 52 56 65 70 74 80 91 104 112 130 140 148 182 185 208 259 260 280 296 364 370 389 455 481 518 520 560 592 728 740 778 910 962 1036 1040 1295 1456 1480 1556 1820 1924 1945 2072 2405 2590 2723 2960 3112 3367 3640 3848 3890 4144 4810 5057 5180 5446 6224 6734 7280 7696 7780 9620 10114 10360 10892 13468 13615 14393 15560 16835 19240 20228 20720 21784 25285 26936 27230 28786 31120 33670 35399 38480 40456 43568 50570 53872 54460 57572 67340 70798 71965 80912 100751 101140 108920 115144 134680 141596 143930 176995 187109 201502 202280 217840 230288 269360 283192 287860 353990 374218 403004 404560 503755 566384 575720 707980 748436 806008 935545 1007510 1151440 1309763 1415960 1496872 1612016 1871090 2015020 2619526 2831920 2993744 3742180 4030040 5239052 6548815 7484360 8060080 10478104 13097630 14968720 20956208 26195260 52390520 104781040