Search a number
-
+
29142330 = 2357731901
BaseRepresentation
bin110111100101…
…0110100111010
32000211120202120
41233022310322
524430023310
62520342110
7502464030
oct157126472
960746676
1029142330
11154a5078
129914936
1360647a9
143c28550
152859b70
hex1bcad3a

29142330 has 64 divisors (see below), whose sum is σ = 81070848. Its totient is φ = 6566400.

The previous prime is 29142319. The next prime is 29142331. The reversal of 29142330 is 3324192.

It is a self number, because there is not a number n which added to its sum of digits gives 29142330.

It is not an unprimeable number, because it can be changed into a prime (29142331) 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, 14380 + ... + 16280.

It is an arithmetic number, because the mean of its divisors is an integer number (1266732).

Almost surely, 229142330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29142330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40535424).

29142330 is an abundant number, since it is smaller than the sum of its proper divisors (51928518).

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

29142330 is a wasteful number, since it uses less digits than its factorization.

29142330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 29142330 is about 5398.3636409564. The cubic root of 29142330 is about 307.7334864920.

The spelling of 29142330 in words is "twenty-nine million, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1533 1901 2190 2555 3066 3802 5110 5703 7665 9505 11406 13307 15330 19010 26614 28515 39921 57030 66535 79842 133070 138773 199605 277546 399210 416319 693865 832638 971411 1387730 1942822 2081595 2914233 4163190 4857055 5828466 9714110 14571165 29142330