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104379840 = 263454027
BaseRepresentation
bin1100011100010…
…11010111000000
321021102001020000
412032023113000
5203210123330
614205120000
72405133255
oct616132700
9237361200
10104379840
1153a13134
122ab59000
1318818226
14dc1142c
15926c560
hex638b5c0

104379840 has 140 divisors (see below), whose sum is σ = 371389656. Its totient is φ = 27827712.

The previous prime is 104379839. The next prime is 104379841. The reversal of 104379840 is 48973401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104379839) and next prime (104379841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104379795 and 104379804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104379841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23907 + ... + 27933.

Almost surely, 2104379840 is an apocalyptic number.

104379840 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 104379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185694828).

104379840 is an abundant number, since it is smaller than the sum of its proper divisors (267009816).

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

104379840 is an equidigital number, since it uses as much as digits as its factorization.

104379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 104379840 is about 10216.6452419569. The cubic root of 104379840 is about 470.8387617999.

The spelling of 104379840 in words is "one hundred four million, three hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4027 4320 5184 6480 8054 8640 12081 12960 16108 20135 24162 25920 32216 36243 40270 48324 60405 64432 72486 80540 96648 108729 120810 128864 144972 161080 181215 193296 217458 241620 257728 289944 322160 326187 362430 386592 434916 483240 543645 579888 644320 652374 724860 773184 869832 966480 1087290 1159776 1288640 1304748 1449720 1630935 1739664 1932960 2174580 2319552 2609496 2899440 3261870 3479328 3865920 4349160 5218992 5798880 6523740 6958656 8698320 10437984 11597760 13047480 17396640 20875968 26094960 34793280 52189920 104379840