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61220280 = 233511192441
BaseRepresentation
bin1110100110001…
…0010110111000
311021012022102210
43221202112320
5111133022110
610024055120
71342235532
oct351422670
9137168383
1061220280
1131614780
12186044a0
13c8b6524
1481b8852
155594520
hex3a625b8

61220280 has 128 divisors (see below), whose sum is σ = 210988800. Its totient is φ = 14054400.

The previous prime is 61220267. The next prime is 61220287. The reversal of 61220280 is 8202216.

61220280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61220287) by changing a digit.

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, 23860 + ... + 26300.

It is an arithmetic number, because the mean of its divisors is an integer number (1648350).

Almost surely, 261220280 is an apocalyptic number.

61220280 is a gapful number since it is divisible by the number (60) 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 61220280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105494400).

61220280 is an abundant number, since it is smaller than the sum of its proper divisors (149768520).

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

61220280 is a wasteful number, since it uses less digits than its factorization.

61220280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 61220280 is about 7824.3389497133. The cubic root of 61220280 is about 394.1229914842.

Adding to 61220280 its reverse (8202216), we get a palindrome (69422496).

The spelling of 61220280 in words is "sixty-one million, two hundred twenty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2441 2508 3135 4180 4882 5016 6270 7323 8360 9764 12205 12540 14646 19528 24410 25080 26851 29292 36615 46379 48820 53702 58584 73230 80553 92758 97640 107404 134255 139137 146460 161106 185516 214808 231895 268510 278274 292920 322212 371032 402765 463790 510169 537020 556548 644424 695685 805530 927580 1020338 1074040 1113096 1391370 1530507 1611060 1855160 2040676 2550845 2782740 3061014 3222120 4081352 5101690 5565480 6122028 7652535 10203380 12244056 15305070 20406760 30610140 61220280