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61799920 = 2457132653
BaseRepresentation
bin1110101110111…
…1110111110000
311022021202112221
43223233313300
5111310044140
610044330424
71350201460
oct353576760
9138252487
1061799920
1131980216
1218843a14
13ca5a300
1482c9ba0
15565b14a
hex3aefdf0

61799920 has 120 divisors (see below), whose sum is σ = 178086816. Its totient is φ = 19528704.

The previous prime is 61799917. The next prime is 61799939. The reversal of 61799920 is 2999716.

It is a super-2 number, since 2×617999202 = 7638460224012800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94314 + ... + 94966.

Almost surely, 261799920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61799920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89043408).

61799920 is an abundant number, since it is smaller than the sum of its proper divisors (116286896).

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

61799920 is a wasteful number, since it uses less digits than its factorization.

61799920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The square root of 61799920 is about 7861.2925145933. The cubic root of 61799920 is about 395.3629521915.

The spelling of 61799920 in words is "sixty-one million, seven hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 169 182 208 260 280 338 364 455 520 560 653 676 728 845 910 1040 1183 1306 1352 1456 1690 1820 2366 2612 2704 3265 3380 3640 4571 4732 5224 5915 6530 6760 7280 8489 9142 9464 10448 11830 13060 13520 16978 18284 18928 22855 23660 26120 33956 36568 42445 45710 47320 52240 59423 67912 73136 84890 91420 94640 110357 118846 135824 169780 182840 220714 237692 297115 339560 365680 441428 475384 551785 594230 679120 772499 882856 950768 1103570 1188460 1544998 1765712 2207140 2376920 3089996 3862495 4414280 4753840 6179992 7724990 8828560 12359984 15449980 30899960 61799920