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260816430 = 235729113379
BaseRepresentation
bin11111000101110…
…11111000101110
3200011202211212210
433202323320232
51013232111210
641514111250
76314621520
oct1742737056
9604684783
10260816430
11124251276
127341b526
134205ba64
14268d3a10
1517d6de20
hexf8bbe2e

260816430 has 128 divisors (see below), whose sum is σ = 748569600. Its totient is φ = 56899584.

The previous prime is 260816429. The next prime is 260816443. The reversal of 260816430 is 34618062.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 687981 + ... + 688359.

It is an arithmetic number, because the mean of its divisors is an integer number (5848200).

Almost surely, 2260816430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260816430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374284800).

260816430 is an abundant number, since it is smaller than the sum of its proper divisors (487753170).

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

260816430 is a wasteful number, since it uses less digits than its factorization.

260816430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538.

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

The square root of 260816430 is about 16149.8120732100. The cubic root of 260816430 is about 638.9177918395.

The spelling of 260816430 in words is "two hundred sixty million, eight hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 113 145 174 203 210 226 290 339 379 406 435 565 609 678 758 791 870 1015 1130 1137 1218 1582 1695 1895 2030 2274 2373 2653 3045 3277 3390 3790 3955 4746 5306 5685 6090 6554 7910 7959 9831 10991 11370 11865 13265 15918 16385 19662 21982 22939 23730 26530 32770 32973 39795 42827 45878 49155 54955 65946 68817 76937 79590 85654 98310 109910 114695 128481 137634 153874 164865 214135 229390 230811 256962 299789 329730 344085 384685 428270 461622 599578 642405 688170 769370 899367 1154055 1241983 1284810 1498945 1798734 2308110 2483966 2997890 3725949 4496835 6209915 7451898 8693881 8993670 12419830 17387762 18629745 26081643 37259490 43469405 52163286 86938810 130408215 260816430