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103496320 = 275237989
BaseRepresentation
bin1100010101100…
…11101010000000
321012202011021001
412022303222000
5202443340240
614134141344
72364463354
oct612635200
9235664231
10103496320
115346a354
122a7b1854
1318599035
14da61464
15914589a
hex62b3a80

103496320 has 128 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 38658048.

The previous prime is 103496311. The next prime is 103496339. The reversal of 103496320 is 23694301.

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

It is a super-2 number, since 2×1034963202 = 21422976507084800, which contains 22 as substring.

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, 1162836 + ... + 1162924.

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

Almost surely, 2103496320 is an apocalyptic number.

103496320 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 103496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

103496320 is an abundant number, since it is smaller than the sum of its proper divisors (160887680).

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

103496320 is an equidigital number, since it uses as much as digits as its factorization.

103496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 103496320 is about 10173.3141109473. The cubic root of 103496320 is about 469.5065289964.

The spelling of 103496320 in words is "one hundred three million, four hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 79 80 89 92 115 128 158 160 178 184 230 316 320 356 368 395 445 460 632 640 712 736 790 890 920 1264 1424 1472 1580 1780 1817 1840 2047 2528 2848 2944 3160 3560 3634 3680 4094 5056 5696 6320 7031 7120 7268 7360 8188 9085 10112 10235 11392 12640 14062 14240 14536 14720 16376 18170 20470 25280 28124 28480 29072 32752 35155 36340 40940 50560 56248 56960 58144 65504 70310 72680 81880 112496 116288 131008 140620 145360 161713 163760 224992 232576 262016 281240 290720 323426 327520 449984 562480 581440 646852 655040 808565 899968 1124960 1162880 1293704 1310080 1617130 2249920 2587408 3234260 4499840 5174816 6468520 10349632 12937040 20699264 25874080 51748160 103496320