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104798720 = 295134767
BaseRepresentation
bin1100011111100…
…01101000000000
321022012022211002
412033301220000
5203312024340
614222111132
72411526425
oct617615000
9238168732
10104798720
1154179914
122b11b4a8
1318933aa0
14dcbdd4c
159301715
hex63f1a00

104798720 has 160 divisors (see below), whose sum is σ = 280482048. Its totient is φ = 37306368.

The previous prime is 104798717. The next prime is 104798753. The reversal of 104798720 is 27897401.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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, 1564127 + ... + 1564193.

Almost surely, 2104798720 is an apocalyptic number.

104798720 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 104798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140241024).

104798720 is an abundant number, since it is smaller than the sum of its proper divisors (175683328).

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

104798720 is an equidigital number, since it uses as much as digits as its factorization.

104798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 104798720 is about 10237.1245962917. The cubic root of 104798720 is about 471.4677520455.

The spelling of 104798720 in words is "one hundred four million, seven hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 64 65 67 80 94 104 128 130 134 160 188 208 235 256 260 268 320 335 376 416 470 512 520 536 611 640 670 752 832 871 940 1040 1072 1222 1280 1340 1504 1664 1742 1880 2080 2144 2444 2560 2680 3008 3055 3149 3328 3484 3760 4160 4288 4355 4888 5360 6016 6110 6298 6656 6968 7520 8320 8576 8710 9776 10720 12032 12220 12596 13936 15040 15745 16640 17152 17420 19552 21440 24064 24440 25192 27872 30080 31490 33280 34304 34840 39104 40937 42880 48880 50384 55744 60160 62980 69680 78208 81874 85760 97760 100768 111488 120320 125960 139360 156416 163748 171520 195520 201536 204685 222976 251920 278720 312832 327496 391040 403072 409370 445952 503840 557440 654992 782080 806144 818740 1007680 1114880 1309984 1564160 1612288 1637480 2015360 2229760 2619968 3274960 4030720 5239936 6549920 8061440 10479872 13099840 20959744 26199680 52399360 104798720