Search a number
-
+
4260112430 = 2572471131637
BaseRepresentation
bin1111110111101100…
…0010100000101110
3101222220011010121212
43331323002200232
532211042044210
61542420554422
7210366233600
oct37573024056
911886133555
104260112430
1118967a4582
129aa852a12
1352b794bb2
142c5b03170
1519e005805
hexfdec282e

4260112430 has 96 divisors (see below), whose sum is σ = 9196177536. Its totient is φ = 1416016896.

The previous prime is 4260112429. The next prime is 4260112459. The reversal of 4260112430 is 342110624.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4260112396 and 4260112405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2601572 + ... + 2603208.

It is an arithmetic number, because the mean of its divisors is an integer number (95793516).

Almost surely, 24260112430 is an apocalyptic number.

4260112430 is an abundant number, since it is smaller than the sum of its proper divisors (4936065106).

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

4260112430 is a wasteful number, since it uses less digits than its factorization.

4260112430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4260112430 is about 65269.5367686948. The cubic root of 4260112430 is about 1621.0896025441.

The spelling of 4260112430 in words is "four billion, two hundred sixty million, one hundred twelve thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 47 49 70 94 98 113 226 235 245 329 470 490 565 658 791 1130 1582 1637 1645 2303 3274 3290 3955 4606 5311 5537 7910 8185 10622 11074 11459 11515 16370 22918 23030 26555 27685 37177 53110 55370 57295 74354 76939 80213 114590 153878 160426 184981 185885 260239 369962 371770 384695 401065 520478 538573 769390 802130 924905 1077146 1294867 1301195 1849810 2589734 2602390 2692865 3770011 5385730 6474335 7540022 8694107 9064069 12948670 17388214 18128138 18850055 37700110 43470535 45320345 60858749 86941070 90640690 121717498 304293745 426011243 608587490 852022486 2130056215 4260112430