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260266080 = 25353117491
BaseRepresentation
bin11111000001101…
…01100001100000
3200010201212221110
433200311201200
51013112003310
641454223320
76310140144
oct1740654140
9603655843
10260266080
11123a05838
12731b4b40
1341bc83c9
14267cd224
1517cb0d20
hexf835860

260266080 has 96 divisors (see below), whose sum is σ = 846332928. Its totient is φ = 67161600.

The previous prime is 260266079. The next prime is 260266081. The reversal of 260266080 is 80662062.

260266080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260266079) and next prime (260266081).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260266081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6135 + ... + 23625.

It is an arithmetic number, because the mean of its divisors is an integer number (8815968).

Almost surely, 2260266080 is an apocalyptic number.

260266080 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 260266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423166464).

260266080 is an abundant number, since it is smaller than the sum of its proper divisors (586066848).

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

260266080 is a wasteful number, since it uses less digits than its factorization.

260266080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17540 (or 17532 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 260266080 is about 16132.7641772884. The cubic root of 260266080 is about 638.4680808795.

The spelling of 260266080 in words is "two hundred sixty million, two hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 17491 34982 52473 69964 87455 104946 139928 174910 209892 262365 279856 349820 419784 524730 542221 559712 699640 839568 1049460 1084442 1399280 1626663 1679136 2098920 2168884 2711105 2798560 3253326 4197840 4337768 5422210 6506652 8133315 8395680 8675536 10844420 13013304 16266630 17351072 21688840 26026608 32533260 43377680 52053216 65066520 86755360 130133040 260266080