Search a number
-
+
10398432 = 2531143229
BaseRepresentation
bin100111101010…
…101011100000
3201120021222010
4213222223200
510130222212
61010512520
7154246062
oct47525340
921507863
1010398432
115962550
123595740
132201025
141549732
15da603c
hex9eaae0

10398432 has 96 divisors (see below), whose sum is σ = 30602880. Its totient is φ = 3064320.

The previous prime is 10398431. The next prime is 10398433. The reversal of 10398432 is 23489301.

10398432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10398431) and next prime (10398433).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 10398432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10398431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45294 + ... + 45522.

It is an arithmetic number, because the mean of its divisors is an integer number (318780).

Almost surely, 210398432 is an apocalyptic number.

10398432 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 10398432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301440).

10398432 is an abundant number, since it is smaller than the sum of its proper divisors (20204448).

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

10398432 is a wasteful number, since it uses less digits than its factorization.

10398432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 10398432 is about 3224.6599820756. The cubic root of 10398432 is about 218.2676061632.

The spelling of 10398432 in words is "ten million, three hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 229 258 264 344 352 458 473 516 528 687 688 916 946 1032 1056 1374 1376 1419 1832 1892 2064 2519 2748 2838 3664 3784 4128 5038 5496 5676 7328 7557 7568 9847 10076 10992 11352 15114 15136 19694 20152 21984 22704 29541 30228 39388 40304 45408 59082 60456 78776 80608 108317 118164 120912 157552 216634 236328 241824 315104 324951 433268 472656 649902 866536 945312 1299804 1733072 2599608 3466144 5199216 10398432