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104327040 = 273567811
BaseRepresentation
bin1100011011111…
…10011110000000
321021022100210110
412031332132000
5203201431130
614204031320
72404523316
oct615763600
9237270713
10104327040
11539874a4
122ab32540
13187ca19c
14dbda0b6
15925bab0
hex637e780

104327040 has 128 divisors (see below), whose sum is σ = 337921920. Its totient is φ = 27371520.

The previous prime is 104327039. The next prime is 104327053. The reversal of 104327040 is 40723401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 104326998 and 104327016.

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, 128235 + ... + 129045.

It is an arithmetic number, because the mean of its divisors is an integer number (2640015).

Almost surely, 2104327040 is an apocalyptic number.

104327040 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 104327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168960960).

104327040 is an abundant number, since it is smaller than the sum of its proper divisors (233594880).

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

104327040 is an equidigital number, since it uses as much as digits as its factorization.

104327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 104327040 is about 10214.0608966268. The cubic root of 104327040 is about 470.7593579622.

The spelling of 104327040 in words is "one hundred four million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 268 320 335 384 402 480 536 640 670 804 811 960 1005 1072 1340 1608 1622 1920 2010 2144 2433 2680 3216 3244 4020 4055 4288 4866 5360 6432 6488 8040 8110 8576 9732 10720 12165 12864 12976 16080 16220 19464 21440 24330 25728 25952 32160 32440 38928 42880 48660 51904 54337 64320 64880 77856 97320 103808 108674 128640 129760 155712 163011 194640 217348 259520 271685 311424 326022 389280 434696 519040 543370 652044 778560 815055 869392 1086740 1304088 1557120 1630110 1738784 2173480 2608176 3260220 3477568 4346960 5216352 6520440 6955136 8693920 10432704 13040880 17387840 20865408 26081760 34775680 52163520 104327040