Search a number
-
+
130255360 = 295174173
BaseRepresentation
bin1111100001110…
…00101000000000
3100002002122202121
413300320220000
5231321132420
620531454024
73141103144
oct760705000
9302078677
10130255360
1167586864
1237757314
1320ca7aa1
1413429224
15b67e2aa
hex7c38a00

130255360 has 160 divisors (see below), whose sum is σ = 343384272. Its totient is φ = 47185920.

The previous prime is 130255339. The next prime is 130255361. The reversal of 130255360 is 63552031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 43243776 + 87011584 = 6576^2 + 9328^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (130255361) 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, 1784284 + ... + 1784356.

Almost surely, 2130255360 is an apocalyptic number.

130255360 is a gapful number since it is divisible by the number (10) 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 130255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171692136).

130255360 is an abundant number, since it is smaller than the sum of its proper divisors (213128912).

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

130255360 is an equidigital number, since it uses as much as digits as its factorization.

130255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 130255360 is about 11412.9470339610. The cubic root of 130255360 is about 506.9111777663.

The spelling of 130255360 in words is "one hundred thirty million, two hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 64 68 73 80 82 85 128 136 146 160 164 170 205 256 272 292 320 328 340 365 410 512 544 584 640 656 680 697 730 820 1088 1168 1241 1280 1312 1360 1394 1460 1640 2176 2336 2482 2560 2624 2720 2788 2920 2993 3280 3485 4352 4672 4964 5248 5440 5576 5840 5986 6205 6560 6970 8704 9344 9928 10496 10880 11152 11680 11972 12410 13120 13940 14965 18688 19856 20992 21760 22304 23360 23944 24820 26240 27880 29930 37376 39712 43520 44608 46720 47888 49640 50881 52480 55760 59860 79424 89216 93440 95776 99280 101762 104960 111520 119720 158848 178432 186880 191552 198560 203524 223040 239440 254405 317696 356864 383104 397120 407048 446080 478880 508810 635392 766208 794240 814096 892160 957760 1017620 1532416 1588480 1628192 1784320 1915520 2035240 3176960 3256384 3831040 4070480 6512768 7662080 8140960 13025536 16281920 26051072 32563840 65127680 130255360