Search a number
-
+
29063430 = 23251131947
BaseRepresentation
bin110111011011…
…1100100000110
32000200120112100
41232313210012
524420012210
62514532530
7502015014
oct156674406
960616470
1029063430
1115450870
129897146
1360378c6
143c078b4
1528415c0
hex1bb7906

29063430 has 96 divisors (see below), whose sum is σ = 85183488. Its totient is φ = 6811200.

The previous prime is 29063413. The next prime is 29063449. The reversal of 29063430 is 3436092.

29063430 is a `hidden beast` number, since 29 + 0 + 634 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29063394 and 29063403.

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, 30217 + ... + 31163.

It is an arithmetic number, because the mean of its divisors is an integer number (887328).

Almost surely, 229063430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29063430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42591744).

29063430 is an abundant number, since it is smaller than the sum of its proper divisors (56120058).

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

29063430 is a wasteful number, since it uses less digits than its factorization.

29063430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 29063430 is about 5391.0509179565. The cubic root of 29063430 is about 307.4555160716.

It can be divided in two parts, 2906 and 3430, that added together give a palindrome (6336).

The spelling of 29063430 in words is "twenty-nine million, sixty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 947 990 1023 1395 1705 1894 2046 2790 2841 3069 3410 4735 5115 5682 6138 8523 9470 10230 10417 14205 15345 17046 20834 28410 29357 30690 31251 42615 52085 58714 62502 85230 88071 93753 104170 146785 156255 176142 187506 264213 293570 312510 322927 440355 468765 528426 645854 880710 937530 968781 1321065 1614635 1937562 2642130 2906343 3229270 4843905 5812686 9687810 14531715 29063430