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103080480 = 2535239337
BaseRepresentation
bin1100010010011…
…10001000100000
321011222000211120
412021032020200
5202342033410
614121212240
72361112116
oct611161040
9234860746
10103080480
1153205988
122a631080
1318481989
14d993ab6
1590b2570
hex624e220

103080480 has 96 divisors (see below), whose sum is σ = 338857344. Its totient is φ = 26290176.

The previous prime is 103080479. The next prime is 103080511. The reversal of 103080480 is 84080301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103080480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6372 + ... + 15708.

It is an arithmetic number, because the mean of its divisors is an integer number (3529764).

Almost surely, 2103080480 is an apocalyptic number.

103080480 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 103080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169428672).

103080480 is an abundant number, since it is smaller than the sum of its proper divisors (235776864).

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

103080480 is a wasteful number, since it uses less digits than its factorization.

103080480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9370 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 103080480 is about 10152.8557558945. The cubic root of 103080480 is about 468.8768716135.

The spelling of 103080480 in words is "one hundred three million, eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 9337 11040 18674 28011 37348 46685 56022 74696 93370 112044 140055 149392 186740 214751 224088 280110 298784 373480 429502 448176 560220 644253 746960 859004 896352 1073755 1120440 1288506 1493920 1718008 2147510 2240880 2577012 3221265 3436016 4295020 4481760 5154024 6442530 6872032 8590040 10308048 12885060 17180080 20616096 25770120 34360160 51540240 103080480