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261161274 = 231123434001
BaseRepresentation
bin11111001000100…
…00000100111010
3200012102100220210
433210100010322
51013324130044
641525331550
76320556063
oct1744200472
9605370823
10261161274
11124467370
1273566bb6
134214c9ca
142698356a
1517ddb1b9
hexf91013a

261161274 has 64 divisors (see below), whose sum is σ = 608560128. Its totient is φ = 73920000.

The previous prime is 261161273. The next prime is 261161279. The reversal of 261161274 is 472161162.

It is a super-2 number, since 2×2611612742 = 136410422074606152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261161273) 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, 63274 + ... + 67274.

It is an arithmetic number, because the mean of its divisors is an integer number (9508752).

Almost surely, 2261161274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261161274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304280064).

261161274 is an abundant number, since it is smaller than the sum of its proper divisors (347398854).

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

261161274 is a wasteful number, since it uses less digits than its factorization.

261161274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083.

The product of its digits is 4032, while the sum is 30.

The square root of 261161274 is about 16160.4849555946. The cubic root of 261161274 is about 639.1992540860.

The spelling of 261161274 in words is "two hundred sixty-one million, one hundred sixty-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 11 22 23 33 43 46 66 69 86 129 138 253 258 473 506 759 946 989 1419 1518 1978 2838 2967 4001 5934 8002 10879 12003 21758 24006 32637 44011 65274 88022 92023 132033 172043 184046 264066 276069 344086 516129 552138 1012253 1032258 1892473 2024506 3036759 3784946 3956989 5677419 6073518 7913978 11354838 11870967 23741934 43526879 87053758 130580637 261161274