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104868480 = 2735193283
BaseRepresentation
bin1100100000000…
…10101010000000
321022022212111210
412100002222000
5203321242410
614223410120
72412240003
oct620025200
9238285453
10104868480
1154217272
122b153940
1318959772
14dcdb53a
159317220
hex6402a80

104868480 has 128 divisors (see below), whose sum is σ = 337187520. Its totient is φ = 27721728.

The previous prime is 104868473. The next prime is 104868481. The reversal of 104868480 is 84868401.

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

It is not an unprimeable number, because it can be changed into a prime (104868481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370419 + ... + 370701.

Almost surely, 2104868480 is an apocalyptic number.

104868480 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 104868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168593760).

104868480 is an abundant number, since it is smaller than the sum of its proper divisors (232319040).

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

104868480 is a wasteful number, since it uses less digits than its factorization.

104868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 104868480 is about 10240.5312362201. The cubic root of 104868480 is about 471.5723407764.

The spelling of 104868480 in words is "one hundred four million, eight hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 193 240 283 320 384 386 480 566 579 640 772 849 960 965 1132 1158 1415 1544 1698 1920 1930 2264 2316 2830 2895 3088 3396 3860 4245 4528 4632 5660 5790 6176 6792 7720 8490 9056 9264 11320 11580 12352 13584 15440 16980 18112 18528 22640 23160 24704 27168 30880 33960 36224 37056 45280 46320 54336 54619 61760 67920 74112 90560 92640 108672 109238 123520 135840 163857 181120 185280 218476 271680 273095 327714 370560 436952 543360 546190 655428 819285 873904 1092380 1310856 1638570 1747808 2184760 2621712 3277140 3495616 4369520 5243424 6554280 6991232 8739040 10486848 13108560 17478080 20973696 26217120 34956160 52434240 104868480