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104025320 = 23572329557
BaseRepresentation
bin1100011001101…
…00110011101000
321020202000220122
412030310303220
5203112302240
614153342412
72402125550
oct614646350
9236660818
10104025320
11537a0843
122aa07a08
1318722a59
14db5c160
1591ec4b5
hex6334ce8

104025320 has 128 divisors (see below), whose sum is σ = 289267200. Its totient is φ = 32879616.

The previous prime is 104025301. The next prime is 104025353. The reversal of 104025320 is 23520401.

It is a super-2 number, since 2×1040253202 = 21642534402204800, which contains 22 as substring.

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, 186482 + ... + 187038.

It is an arithmetic number, because the mean of its divisors is an integer number (2259900).

Almost surely, 2104025320 is an apocalyptic number.

104025320 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 104025320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144633600).

104025320 is an abundant number, since it is smaller than the sum of its proper divisors (185241880).

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

104025320 is a wasteful number, since it uses less digits than its factorization.

104025320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 104025320 is about 10199.2803667710. The cubic root of 104025320 is about 470.3050984181.

Adding to 104025320 its reverse (23520401), we get a palindrome (127545721).

The spelling of 104025320 in words is "one hundred four million, twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 29 35 40 46 56 58 70 92 115 116 140 145 161 184 203 230 232 280 290 322 406 460 557 580 644 667 805 812 920 1015 1114 1160 1288 1334 1610 1624 2030 2228 2668 2785 3220 3335 3899 4060 4456 4669 5336 5570 6440 6670 7798 8120 9338 11140 12811 13340 15596 16153 18676 19495 22280 23345 25622 26680 31192 32306 37352 38990 46690 51244 64055 64612 77980 80765 89677 93380 102488 113071 128110 129224 155960 161530 179354 186760 226142 256220 323060 358708 371519 448385 452284 512440 565355 646120 717416 743038 896770 904568 1130710 1486076 1793540 1857595 2261420 2600633 2972152 3587080 3715190 4522840 5201266 7430380 10402532 13003165 14860760 20805064 26006330 52012660 104025320