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29428530 = 23517193037
BaseRepresentation
bin111000001000…
…0101100110010
32001101010100120
41300100230302
530013203110
62530431110
7505065315
oct160205462
961333316
1029428530
11156800aa
129a32496
136134b41
143ca097c
1528b4870
hex1c10b32

29428530 has 64 divisors (see below), whose sum is σ = 78744960. Its totient is φ = 6994944.

The previous prime is 29428519. The next prime is 29428537. The reversal of 29428530 is 3582492.

It is a happy number.

29428530 is nontrivially palindromic in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 29428491 and 29428500.

It is not an unprimeable number, because it can be changed into a prime (29428537) 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, 8172 + ... + 11208.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 229428530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29428530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

29428530 is an abundant number, since it is smaller than the sum of its proper divisors (49316430).

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

29428530 is a wasteful number, since it uses less digits than its factorization.

29428530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 29428530 is about 5424.8069090061. The cubic root of 29428530 is about 308.7375994189.

The spelling of 29428530 in words is "twenty-nine million, four hundred twenty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 3037 3230 4845 6074 9111 9690 15185 18222 30370 45555 51629 57703 91110 103258 115406 154887 173109 258145 288515 309774 346218 516290 577030 774435 865545 980951 1548870 1731090 1961902 2942853 4904755 5885706 9809510 14714265 29428530