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210115980 = 223254171401
BaseRepresentation
bin11001000011000…
…01110110001100
3112122100222221100
430201201312030
5412242202410
632503303100
75130646014
oct1441416614
9478328840
10210115980
11a8672278
125a44aa90
13346b98a9
141dc96c44
15136a68c0
hexc861d8c

210115980 has 144 divisors (see below), whose sum is σ = 663743808. Its totient is φ = 53760000.

The previous prime is 210115957. The next prime is 210115987. The reversal of 210115980 is 89511012.

It is not an unprimeable number, because it can be changed into a prime (210115987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523780 + ... + 524180.

It is an arithmetic number, because the mean of its divisors is an integer number (4609332).

Almost surely, 2210115980 is an apocalyptic number.

210115980 is a gapful number since it is divisible by the number (20) 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 210115980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331871904).

210115980 is an abundant number, since it is smaller than the sum of its proper divisors (453627828).

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

210115980 is a wasteful number, since it uses less digits than its factorization.

210115980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 210115980 is about 14495.3778840015. The cubic root of 210115980 is about 594.5015999106.

Adding to 210115980 its reverse (89511012), we get a palindrome (299626992).

It can be divided in two parts, 2101 and 15980, that added together give a palindrome (18081).

The spelling of 210115980 in words is "two hundred ten million, one hundred fifteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 71 82 90 123 142 164 180 205 213 246 284 355 369 401 410 426 492 615 639 710 738 802 820 852 1065 1203 1230 1278 1420 1476 1604 1845 2005 2130 2406 2460 2556 2911 3195 3609 3690 4010 4260 4812 5822 6015 6390 7218 7380 8020 8733 11644 12030 12780 14436 14555 16441 17466 18045 24060 26199 28471 29110 32882 34932 36090 43665 49323 52398 56942 58220 65764 72180 82205 85413 87330 98646 104796 113884 130995 142355 147969 164410 170826 174660 197292 246615 256239 261990 284710 295938 328820 341652 427065 493230 512478 523980 569420 591876 739845 854130 986460 1024956 1167311 1281195 1479690 1708260 2334622 2562390 2959380 3501933 4669244 5124780 5836555 7003866 10505799 11673110 14007732 17509665 21011598 23346220 35019330 42023196 52528995 70038660 105057990 210115980