Search a number
-
+
29230470 = 235523523
BaseRepresentation
bin110111110000…
…0010110000110
32001000001200000
41233200112012
524440333340
62522302130
7503312013
oct157402606
961001600
1029230470
1115555315
129957946
136095949
143c4c70a
152875d30
hex1be0586

29230470 has 96 divisors (see below), whose sum is σ = 82397952. Its totient is φ = 7441632.

The previous prime is 29230403. The next prime is 29230477. The reversal of 29230470 is 7403292.

29230470 is a `hidden beast` number, since 292 + 304 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29230477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55629 + ... + 56151.

It is an arithmetic number, because the mean of its divisors is an integer number (858312).

Almost surely, 229230470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29230470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41198976).

29230470 is an abundant number, since it is smaller than the sum of its proper divisors (53167482).

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

29230470 is a wasteful number, since it uses less digits than its factorization.

29230470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 29230470 is about 5406.5210625688. The cubic root of 29230470 is about 308.0434174471.

The spelling of 29230470 in words is "twenty-nine million, two hundred thirty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 243 270 345 405 414 486 523 621 690 810 1035 1046 1215 1242 1569 1863 2070 2430 2615 3105 3138 3726 4707 5230 5589 6210 7845 9315 9414 11178 12029 14121 15690 18630 23535 24058 27945 28242 36087 42363 47070 55890 60145 70605 72174 84726 108261 120290 127089 141210 180435 211815 216522 254178 324783 360870 423630 541305 635445 649566 974349 1082610 1270890 1623915 1948698 2923047 3247830 4871745 5846094 9743490 14615235 29230470