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260611668 = 2237313
BaseRepresentation
bin11111000100010…
…01111001010100
3200011101110000000
433202021321110
51013204033133
641505451300
76313106532
oct1742117124
9604343000
10260611668
11124121449
1273340b30
1341cb97b5
142687d152
1517d2d413
hexf889e54

260611668 has 96 divisors (see below), whose sum is σ = 706800640. Its totient is φ = 84068280.

The previous prime is 260611667. The next prime is 260611693. The reversal of 260611668 is 866116062.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

260611668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260611667) 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, 8406813 + ... + 8406843.

Almost surely, 2260611668 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 260611668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353400320).

260611668 is an abundant number, since it is smaller than the sum of its proper divisors (446188972).

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

260611668 is an frugal number, since it uses more digits than its factorization.

260611668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 260611668 is about 16143.4713739022. The cubic root of 260611668 is about 638.7505473448.

The spelling of 260611668 in words is "two hundred sixty million, six hundred eleven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 729 837 961 972 1116 1458 1674 1922 2187 2511 2883 2916 3348 3844 4374 5022 5766 7533 8649 8748 10044 11532 15066 17298 22599 25947 29791 30132 34596 45198 51894 59582 67797 77841 89373 90396 103788 119164 135594 155682 178746 233523 268119 271188 311364 357492 467046 536238 700569 804357 934092 1072476 1401138 1608714 2101707 2413071 2802276 3217428 4203414 4826142 7239213 8406828 9652284 14478426 21717639 28956852 43435278 65152917 86870556 130305834 260611668