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104103040 = 275297179
BaseRepresentation
bin1100011010001…
…11110010000000
321020212222112011
412031013302000
5203122244130
614155142304
72402601256
oct615076200
9236788464
10104103040
1153844178
122aa44994
131874c242
14db7c5d6
15921552a
hex6347c80

104103040 has 128 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 39137280.

The previous prime is 104103031. The next prime is 104103049. The reversal of 104103040 is 40301401.

It is an interprime number because it is at equal distance from previous prime (104103031) and next prime (104103049).

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

It is a self number, because there is not a number n which added to its sum of digits gives 104103040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104103049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317721 + ... + 1317799.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2104103040 is an apocalyptic number.

104103040 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 104103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

104103040 is an abundant number, since it is smaller than the sum of its proper divisors (160280960).

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

104103040 is an equidigital number, since it uses as much as digits as its factorization.

104103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 104103040 is about 10203.0897281167. The cubic root of 104103040 is about 470.4221949513.

Adding to 104103040 its reverse (40301401), we get a palindrome (144404441).

The spelling of 104103040 in words is "one hundred four million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 71 79 80 116 128 142 145 158 160 232 284 290 316 320 355 395 464 568 580 632 640 710 790 928 1136 1160 1264 1420 1580 1856 2059 2272 2291 2320 2528 2840 3160 3712 4118 4544 4582 4640 5056 5609 5680 6320 8236 9088 9164 9280 10112 10295 11218 11360 11455 12640 16472 18328 18560 20590 22436 22720 22910 25280 28045 32944 36656 41180 44872 45440 45820 50560 56090 65888 73312 82360 89744 91640 112180 131776 146624 162661 164720 179488 183280 224360 263552 293248 325322 329440 358976 366560 448720 650644 658880 717952 733120 813305 897440 1301288 1317760 1466240 1626610 1794880 2602576 3253220 3589760 5205152 6506440 10410304 13012880 20820608 26025760 52051520 104103040