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61361320 = 23547127257
BaseRepresentation
bin1110101000010…
…0110010101000
311021110110220111
43222010302220
5111202030240
610031104104
71343363656
oct352046250
9137413814
1061361320
1131700739
1218672034
13c935797
148213dd6
1555c11ea
hex3a84ca8

61361320 has 64 divisors (see below), whose sum is σ = 142663680. Its totient is φ = 23740416.

The previous prime is 61361257. The next prime is 61361351. The reversal of 61361320 is 2316316.

It is a junction number, because it is equal to n+sod(n) for n = 61361291 and 61361300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238632 + ... + 238888.

It is an arithmetic number, because the mean of its divisors is an integer number (2229120).

Almost surely, 261361320 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 61361320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71331840).

61361320 is an abundant number, since it is smaller than the sum of its proper divisors (81302360).

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

61361320 is a wasteful number, since it uses less digits than its factorization.

61361320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 61361320 is about 7833.3466666553. The cubic root of 61361320 is about 394.4254210814.

Adding to 61361320 its reverse (2316316), we get a palindrome (63677636).

The spelling of 61361320 in words is "sixty-one million, three hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 127 188 235 254 257 376 470 508 514 635 940 1016 1028 1270 1285 1880 2056 2540 2570 5080 5140 5969 10280 11938 12079 23876 24158 29845 32639 47752 48316 59690 60395 65278 96632 119380 120790 130556 163195 238760 241580 261112 326390 483160 652780 1305560 1534033 3068066 6136132 7670165 12272264 15340330 30680660 61361320