Search a number
-
+
10429392 = 2433143163
BaseRepresentation
bin100111110010…
…001111010000
3201121212102210
4213302033100
510132220032
61011312120
7154435251
oct47621720
921555383
1010429392
115983836
1235ab640
13221214c
141556b28
15db02cc
hex9f23d0

10429392 has 80 divisors (see below), whose sum is σ = 28633088. Its totient is φ = 3265920.

The previous prime is 10429387. The next prime is 10429409. The reversal of 10429392 is 29392401.

10429392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63903 + ... + 64065.

Almost surely, 210429392 is an apocalyptic number.

10429392 is a gapful number since it is divisible by the number (12) 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 10429392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316544).

10429392 is an abundant number, since it is smaller than the sum of its proper divisors (18203696).

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

10429392 is a wasteful number, since it uses less digits than its factorization.

10429392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 10429392 is about 3229.4569202886. The cubic root of 10429392 is about 218.4840128151.

The spelling of 10429392 in words is "ten million, four hundred twenty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 48 62 86 93 124 129 163 172 186 248 258 326 344 372 489 496 516 652 688 744 978 1032 1304 1333 1488 1956 2064 2608 2666 3912 3999 5053 5332 7009 7824 7998 10106 10664 14018 15159 15996 20212 21027 21328 28036 30318 31992 40424 42054 56072 60636 63984 80848 84108 112144 121272 168216 217279 242544 336432 434558 651837 869116 1303674 1738232 2607348 3476464 5214696 10429392