Search a number
-
+
29955870 = 23257172797
BaseRepresentation
bin111001001000…
…1011100011110
32002100220201200
41302101130132
530132041440
62550020330
7512422620
oct162213436
962326650
1029955870
1115a0031a
12a0476a6
13628ab89
143d9ac10
15296ac30
hex1c9171e

29955870 has 96 divisors (see below), whose sum is σ = 94281408. Its totient is φ = 6441984.

The previous prime is 29955847. The next prime is 29955899. The reversal of 29955870 is 7855992.

It is a happy number.

29955870 is a `hidden beast` number, since 2 + 99 + 558 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9312 + ... + 12108.

It is an arithmetic number, because the mean of its divisors is an integer number (982098).

Almost surely, 229955870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29955870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47140704).

29955870 is an abundant number, since it is smaller than the sum of its proper divisors (64325538).

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

29955870 is a wasteful number, since it uses less digits than its factorization.

29955870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 29955870 is about 5473.1955930699. The cubic root of 29955870 is about 310.5708178609.

It can be divided in two parts, 299 and 55870, that added together give a square (56169 = 2372).

The spelling of 29955870 in words is "twenty-nine million, nine hundred fifty-five thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 2797 3570 5355 5594 8391 10710 13985 16782 19579 25173 27970 39158 41955 47549 50346 58737 83910 95098 97895 117474 125865 142647 176211 195790 237745 251730 285294 293685 332843 352422 427941 475490 587370 665686 713235 855882 881055 998529 1426470 1664215 1762110 1997058 2139705 2995587 3328430 4279410 4992645 5991174 9985290 14977935 29955870