Search a number
-
+
10429300 = 2252747317
BaseRepresentation
bin100111110010…
…001101110100
3201121212022101
4213302031310
510132214200
61011311444
7154435060
oct47621564
921555271
1010429300
115983762
1235ab584
1322120ab
141556aa0
15db026a
hex9f2374

10429300 has 72 divisors (see below), whose sum is σ = 26498304. Its totient is φ = 3488640.

The previous prime is 10429283. The next prime is 10429337. The reversal of 10429300 is 392401.

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 23 ways as a sum of consecutive naturals, for example, 32742 + ... + 33058.

It is an arithmetic number, because the mean of its divisors is an integer number (368032).

Almost surely, 210429300 is an apocalyptic number.

10429300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10429300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249152).

10429300 is an abundant number, since it is smaller than the sum of its proper divisors (16069004).

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

10429300 is a wasteful number, since it uses less digits than its factorization.

10429300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 10429300 is about 3229.4426763762. The cubic root of 10429300 is about 218.4833703811.

The spelling of 10429300 in words is "ten million, four hundred twenty-nine thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 235 317 329 350 470 634 658 700 940 1175 1268 1316 1585 1645 2219 2350 3170 3290 4438 4700 6340 6580 7925 8225 8876 11095 14899 15850 16450 22190 29798 31700 32900 44380 55475 59596 74495 104293 110950 148990 208586 221900 297980 372475 417172 521465 744950 1042930 1489900 2085860 2607325 5214650 10429300