Search a number
-
+
143260040 = 235711193241
BaseRepresentation
bin10001000100111…
…11100110001000
3100222120100211102
420202133212020
5243133310130
622114320532
73356455520
oct1042374610
9328510742
10143260040
1173959430
123bb89148
13238ac171
1415052680
15c89c645
hex889f988

143260040 has 128 divisors (see below), whose sum is σ = 405630720. Its totient is φ = 44236800.

The previous prime is 143259947. The next prime is 143260043. The reversal of 143260040 is 40062341.

It is a happy number.

143260040 is nontrivially palindromic in base 16.

143260040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1432600404 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 143259994 and 143260021.

It is not an unprimeable number, because it can be changed into a prime (143260043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594320 + ... + 594560.

It is an arithmetic number, because the mean of its divisors is an integer number (3168990).

Almost surely, 2143260040 is an apocalyptic number.

143260040 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 143260040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202815360).

143260040 is an abundant number, since it is smaller than the sum of its proper divisors (262370680).

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

143260040 is a wasteful number, since it uses less digits than its factorization.

143260040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 143260040 is about 11969.1286232541. The cubic root of 143260040 is about 523.2489385684.

The spelling of 143260040 in words is "one hundred forty-three million, two hundred sixty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 193 220 241 280 308 385 386 440 482 616 770 772 964 965 1205 1351 1540 1544 1687 1928 1930 2123 2410 2651 2702 3080 3374 3860 4246 4820 5302 5404 6748 6755 7720 8435 8492 9640 10604 10615 10808 13255 13496 13510 14861 16870 16984 18557 21208 21230 26510 27020 29722 33740 37114 42460 46513 53020 54040 59444 67480 74228 74305 84920 92785 93026 106040 118888 148456 148610 185570 186052 232565 297220 325591 371140 372104 465130 511643 594440 651182 742280 930260 1023286 1302364 1627955 1860520 2046572 2558215 2604728 3255910 3581501 4093144 5116430 6511820 7163002 10232860 13023640 14326004 17907505 20465720 28652008 35815010 71630020 143260040