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29930130 = 23251923761
BaseRepresentation
bin111001000101…
…1001010010010
32002022121102100
41302023022102
530130231010
62545301230
7512254566
oct162131222
962277370
1029930130
1115992a4a
12a034816
13627c249
143d916a6
1529632c0
hex1c8b292

29930130 has 96 divisors (see below), whose sum is σ = 85587840. Its totient is φ = 7223040.

The previous prime is 29930129. The next prime is 29930141. The reversal of 29930130 is 3103992.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 29930094 and 29930103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38950 + ... + 39710.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 229930130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29930130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42793920).

29930130 is an abundant number, since it is smaller than the sum of its proper divisors (55657710).

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

29930130 is a wasteful number, since it uses less digits than its factorization.

29930130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 29930130 is about 5470.8436278146. The cubic root of 29930130 is about 310.4818382650.

The spelling of 29930130 in words is "twenty-nine million, nine hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 30 38 45 46 57 69 90 95 114 115 138 171 190 207 230 285 342 345 414 437 570 690 761 855 874 1035 1311 1522 1710 2070 2185 2283 2622 3805 3933 4370 4566 6555 6849 7610 7866 11415 13110 13698 14459 17503 19665 22830 28918 34245 35006 39330 43377 52509 68490 72295 86754 87515 105018 130131 144590 157527 175030 216885 260262 262545 315054 332557 433770 525090 650655 665114 787635 997671 1301310 1575270 1662785 1995342 2993013 3325570 4988355 5986026 9976710 14965065 29930130