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260488480 = 25571912241
BaseRepresentation
bin11111000011010…
…11110100100000
3200011011012000111
433201223310200
51013141112410
641503101104
76312054430
oct1741536440
9604135014
10260488480
1112404793a
12732a1794
1341c756c5
142684a2c0
1517d06b8a
hexf86bd20

260488480 has 96 divisors (see below), whose sum is σ = 740396160. Its totient is φ = 84602880.

The previous prime is 260488477. The next prime is 260488489. The reversal of 260488480 is 84884062.

260488480 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 (40).

It is not an unprimeable number, because it can be changed into a prime (260488489) 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, 15160 + ... + 27400.

It is an arithmetic number, because the mean of its divisors is an integer number (7712460).

Almost surely, 2260488480 is an apocalyptic number.

260488480 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 260488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370198080).

260488480 is an abundant number, since it is smaller than the sum of its proper divisors (479907680).

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

260488480 is a wasteful number, since it uses less digits than its factorization.

260488480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12282 (or 12274 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 260488480 is about 16139.6555105739. The cubic root of 260488480 is about 638.6498882500.

The spelling of 260488480 in words is "two hundred sixty million, four hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 10640 12241 21280 24482 48964 61205 85687 97928 122410 171374 195856 232579 244820 342748 391712 428435 465158 489640 685496 856870 930316 979280 1162895 1370992 1628053 1713740 1860632 1958560 2325790 2741984 3256106 3427480 3721264 4651580 6512212 6854960 7442528 8140265 9303160 13024424 13709920 16280530 18606320 26048848 32561060 37212640 52097696 65122120 130244240 260488480