Search a number
-
+
260260480 = 27517191259
BaseRepresentation
bin11111000001101…
…00001010000000
3200010201121021001
433200310022000
51013111313410
641454141344
76310114624
oct1740641200
9603647231
10260260480
11123a01607
12731b1854
1341bc59ac
14267cb184
1517cae33a
hexf834280

260260480 has 128 divisors (see below), whose sum is σ = 694008000. Its totient is φ = 92749824.

The previous prime is 260260447. The next prime is 260260489. The reversal of 260260480 is 84062062.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (260260489) 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, 206091 + ... + 207349.

Almost surely, 2260260480 is an apocalyptic number.

260260480 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 260260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347004000).

260260480 is an abundant number, since it is smaller than the sum of its proper divisors (433747520).

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

260260480 is a wasteful number, since it uses less digits than its factorization.

260260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 260260480 is about 16132.5906165129. The cubic root of 260260480 is about 638.4635016596.

The spelling of 260260480 in words is "two hundred sixty million, two hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 136 152 160 170 190 272 304 320 323 340 380 544 608 640 646 680 760 1088 1216 1259 1292 1360 1520 1615 2176 2432 2518 2584 2720 3040 3230 5036 5168 5440 6080 6295 6460 10072 10336 10880 12160 12590 12920 20144 20672 21403 23921 25180 25840 40288 41344 42806 47842 50360 51680 80576 85612 95684 100720 103360 107015 119605 161152 171224 191368 201440 206720 214030 239210 342448 382736 402880 406657 428060 478420 684896 765472 805760 813314 856120 956840 1369792 1530944 1626628 1712240 1913680 2033285 2739584 3061888 3253256 3424480 3827360 4066570 6506512 6848960 7654720 8133140 13013024 13697920 15309440 16266280 26026048 32532560 52052096 65065120 130130240 260260480