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103307880 = 233513471409
BaseRepresentation
bin1100010100001…
…01101001101000
321012101120202210
412022011221220
5202421323010
614130125120
72363050104
oct612055150
9235346683
10103307880
1153350815
122a7207a0
1318531330
14da12904
159109b20
hex6285a68

103307880 has 128 divisors (see below), whose sum is σ = 341107200. Its totient is φ = 24870912.

The previous prime is 103307863. The next prime is 103307909. The reversal of 103307880 is 88703301.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 72616 + ... + 74024.

It is an arithmetic number, because the mean of its divisors is an integer number (2664900).

Almost surely, 2103307880 is an apocalyptic number.

103307880 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 103307880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170553600).

103307880 is an abundant number, since it is smaller than the sum of its proper divisors (237799320).

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

103307880 is a wasteful number, since it uses less digits than its factorization.

103307880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 103307880 is about 10164.0484060240. The cubic root of 103307880 is about 469.2214059419.

The spelling of 103307880 in words is "one hundred three million, three hundred seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 47 52 60 65 78 94 104 120 130 141 156 188 195 235 260 282 312 376 390 470 520 564 611 705 780 940 1128 1222 1409 1410 1560 1833 1880 2444 2818 2820 3055 3666 4227 4888 5636 5640 6110 7045 7332 8454 9165 11272 12220 14090 14664 16908 18317 18330 21135 24440 28180 33816 36634 36660 42270 54951 56360 66223 73268 73320 84540 91585 109902 132446 146536 169080 183170 198669 219804 264892 274755 331115 366340 397338 439608 529784 549510 662230 732680 794676 860899 993345 1099020 1324460 1589352 1721798 1986690 2198040 2582697 2648920 3443596 3973380 4304495 5165394 6887192 7946760 8608990 10330788 12913485 17217980 20661576 25826970 34435960 51653940 103307880