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103483980 = 22355107199
BaseRepresentation
bin1100010101100…
…00101001001100
321012201112100000
412022300221030
5202442441410
614134004300
72364412365
oct612605114
9235645300
10103483980
1153461056
122a7a6690
1318593532
14da5ab6c
159141dc0
hex62b0a4c

103483980 has 144 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 27200448.

The previous prime is 103483951. The next prime is 103483993. The reversal of 103483980 is 89384301.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 519921 + ... + 520119.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2103483980 is an apocalyptic number.

103483980 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 103483980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

103483980 is an abundant number, since it is smaller than the sum of its proper divisors (226736820).

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

103483980 is a wasteful number, since it uses less digits than its factorization.

103483980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 103483980 is about 10172.7076041730. The cubic root of 103483980 is about 469.4878682980.

The spelling of 103483980 in words is "one hundred three million, four hundred eighty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 199 214 243 270 321 324 398 405 428 486 535 540 597 642 796 810 963 972 995 1070 1194 1215 1284 1605 1620 1791 1926 1990 2140 2388 2430 2889 2985 3210 3582 3852 3980 4815 4860 5373 5778 5970 6420 7164 8667 8955 9630 10746 11556 11940 14445 16119 17334 17910 19260 21293 21492 26001 26865 28890 32238 34668 35820 42586 43335 48357 52002 53730 57780 63879 64476 80595 85172 86670 96714 104004 106465 107460 127758 130005 161190 173340 191637 193428 212930 241785 255516 260010 319395 322380 383274 425860 483570 520020 574911 638790 766548 958185 967140 1149822 1277580 1724733 1916370 2299644 2874555 3449466 3832740 5174199 5749110 6898932 8623665 10348398 11498220 17247330 20696796 25870995 34494660 51741990 103483980