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261025740 = 2236517903
BaseRepresentation
bin11111000111011…
…10111111001100
3200012011111000000
433203232333030
51013310310430
641522404300
76316452663
oct1743567714
9605144000
10261025740
11124384558
1273500690
1342103101
1426949dda
1517db0e60
hexf8eefcc

261025740 has 84 divisors (see below), whose sum is σ = 821901024. Its totient is φ = 69602976.

The previous prime is 261025729. The next prime is 261025741. The reversal of 261025740 is 47520162.

261025740 is a `hidden beast` number, since 2 + 610 + 2 + 5 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (261025741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5629 + ... + 23531.

It is an arithmetic number, because the mean of its divisors is an integer number (9784536).

Almost surely, 2261025740 is an apocalyptic number.

261025740 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 261025740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410950512).

261025740 is an abundant number, since it is smaller than the sum of its proper divisors (560875284).

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

261025740 is a wasteful number, since it uses less digits than its factorization.

261025740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17930 (or 17913 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 261025740 is about 16156.2910347641. The cubic root of 261025740 is about 639.0886605802.

The spelling of 261025740 in words is "two hundred sixty-one million, twenty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 17903 35806 53709 71612 89515 107418 161127 179030 214836 268545 322254 358060 483381 537090 644508 805635 966762 1074180 1450143 1611270 1933524 2416905 2900286 3222540 4350429 4833810 5800572 7250715 8700858 9667620 13051287 14501430 17401716 21752145 26102574 29002860 43504290 52205148 65256435 87008580 130512870 261025740