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10463232 = 211313131
BaseRepresentation
bin100111111010…
…100000000000
3201200120212010
4213322200000
510134310412
61012132520
7154636023
oct47724000
921616763
1010463232
1159a71aa
123607140
132224680
1415651ba
15dba33c
hex9fa800

10463232 has 96 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3194880.

The previous prime is 10463231. The next prime is 10463249. The reversal of 10463232 is 23236401.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10463199 and 10463208.

It is not an unprimeable number, because it can be changed into a prime (10463231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79807 + ... + 79937.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 210463232 is an apocalyptic number.

10463232 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 10463232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

10463232 is an abundant number, since it is smaller than the sum of its proper divisors (19807008).

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

10463232 is a wasteful number, since it uses less digits than its factorization.

10463232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 10463232 is about 3234.6919482387. The cubic root of 10463232 is about 218.7200609910.

Adding to 10463232 its reverse (23236401), we get a palindrome (33699633).

It can be divided in two parts, 1046 and 3232, that added together give a triangular number (4278 = T92).

The spelling of 10463232 in words is "ten million, four hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 131 156 192 208 256 262 312 384 393 416 512 524 624 768 786 832 1024 1048 1248 1536 1572 1664 1703 2048 2096 2496 3072 3144 3328 3406 4192 4992 5109 6144 6288 6656 6812 8384 9984 10218 12576 13312 13624 16768 19968 20436 25152 26624 27248 33536 39936 40872 50304 54496 67072 79872 81744 100608 108992 134144 163488 201216 217984 268288 326976 402432 435968 653952 804864 871936 1307904 1743872 2615808 3487744 5231616 10463232