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103480080 = 243511192063
BaseRepresentation
bin1100010101011…
…11101100010000
321012201022222120
412022233230100
5202442330310
614133534240
72364365124
oct612575420
9235638876
10103480080
1153459130
122a7a4380
1318591822
14da59584
159140b70
hex62afb10

103480080 has 160 divisors (see below), whose sum is σ = 368547840. Its totient is φ = 23754240.

The previous prime is 103480067. The next prime is 103480121. The reversal of 103480080 is 80084301.

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 103480080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49129 + ... + 51191.

It is an arithmetic number, because the mean of its divisors is an integer number (2303424).

Almost surely, 2103480080 is an apocalyptic number.

103480080 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 103480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184273920).

103480080 is an abundant number, since it is smaller than the sum of its proper divisors (265067760).

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

103480080 is a wasteful number, since it uses less digits than its factorization.

103480080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2103 counting only the distinct ones).

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

The square root of 103480080 is about 10172.5159129883. The cubic root of 103480080 is about 469.4819703620.

The spelling of 103480080 in words is "one hundred three million, four hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2063 2090 2280 2508 2640 3135 3344 4126 4180 4560 5016 6189 6270 8252 8360 10032 10315 12378 12540 16504 16720 20630 22693 24756 25080 30945 33008 39197 41260 45386 49512 50160 61890 68079 78394 82520 90772 99024 113465 117591 123780 136158 156788 165040 181544 195985 226930 235182 247560 272316 313576 340395 363088 391970 431167 453860 470364 495120 544632 587955 627152 680790 783940 862334 907720 940728 1089264 1175910 1293501 1361580 1567880 1724668 1815440 1881456 2155835 2351820 2587002 2723160 3135760 3449336 4311670 4703640 5174004 5446320 6467505 6898672 8623340 9407280 10348008 12935010 17246680 20696016 25870020 34493360 51740040 103480080