Search a number
-
+
29376630 = 23251033169
BaseRepresentation
bin111000000010…
…0000001110110
32001021111011100
41300010001312
530010023010
62525350530
7504461103
oct160040166
961244140
1029376630
1115645108
129a08446
13611732a
143c89aaa
1528a42c0
hex1c04076

29376630 has 48 divisors (see below), whose sum is σ = 77145120. Its totient is φ = 7755264.

The previous prime is 29376617. The next prime is 29376637. The reversal of 29376630 is 3667392.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29376637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7686 + ... + 10854.

It is an arithmetic number, because the mean of its divisors is an integer number (1607190).

Almost surely, 229376630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29376630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38572560).

29376630 is an abundant number, since it is smaller than the sum of its proper divisors (47768490).

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

29376630 is a wasteful number, since it uses less digits than its factorization.

29376630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 29376630 is about 5420.0212176706. The cubic root of 29376630 is about 308.5559966195. Note that the first 3 decimals are identical.

The spelling of 29376630 in words is "twenty-nine million, three hundred seventy-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 3169 4635 6338 9270 9507 15845 19014 28521 31690 47535 57042 95070 142605 285210 326407 652814 979221 1632035 1958442 2937663 3264070 4896105 5875326 9792210 14688315 29376630