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103276080 = 24335137349
BaseRepresentation
bin1100010011111…
…01111000110000
321012022222011000
412021331320300
5202414313310
614125322000
72362555305
oct611757060
9235288130
10103276080
1153329936
122a706300
131851ca0b
14da050ac
1591004c0
hex627de30

103276080 has 160 divisors (see below), whose sum is σ = 359352000. Its totient is φ = 27260928.

The previous prime is 103276031. The next prime is 103276087. The reversal of 103276080 is 80672301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103276087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295746 + ... + 296094.

It is an arithmetic number, because the mean of its divisors is an integer number (2245950).

Almost surely, 2103276080 is an apocalyptic number.

103276080 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 103276080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179676000).

103276080 is an abundant number, since it is smaller than the sum of its proper divisors (256075920).

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

103276080 is a wasteful number, since it uses less digits than its factorization.

103276080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 103276080 is about 10162.4839483268. The cubic root of 103276080 is about 469.1732561074.

The spelling of 103276080 in words is "one hundred three million, two hundred seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 137 144 180 216 240 270 274 349 360 411 432 540 548 685 698 720 822 1047 1080 1096 1233 1370 1396 1644 1745 2055 2094 2160 2192 2466 2740 2792 3141 3288 3490 3699 4110 4188 4932 5235 5480 5584 6165 6282 6576 6980 7398 8220 8376 9423 9864 10470 10960 12330 12564 13960 14796 15705 16440 16752 18495 18846 19728 20940 24660 25128 27920 29592 31410 32880 36990 37692 41880 47115 47813 49320 50256 59184 62820 73980 75384 83760 94230 95626 98640 125640 143439 147960 150768 188460 191252 239065 251280 286878 295920 376920 382504 430317 478130 573756 717195 753840 765008 860634 956260 1147512 1290951 1434390 1721268 1912520 2151585 2295024 2581902 2868780 3442536 3825040 4303170 5163804 5737560 6454755 6885072 8606340 10327608 11475120 12909510 17212680 20655216 25819020 34425360 51638040 103276080