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106463232 = 21532192
BaseRepresentation
bin1100101100010…
…00000000000000
321102022220002200
412112020000000
5204223310412
614321513200
72431631301
oct626100000
9242286080
10106463232
1155106447
122b7a2800
13190975c5
14101d47a8
15952e9dc
hex6588000

106463232 has 144 divisors (see below), whose sum is σ = 324594855. Its totient is φ = 33619968.

The previous prime is 106463221. The next prime is 106463233. The reversal of 106463232 is 232364601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106463232 is a `hidden beast` number, since 10 + 646 + 3 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53231616 + 53231616 = 7296^2 + 7296^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7296.

It is a super-2 number, since 2×1064632322 = 22668839535771648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106463196 and 106463205.

It is not an unprimeable number, because it can be changed into a prime (106463233) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5603319 + ... + 5603337.

Almost surely, 2106463232 is an apocalyptic number.

106463232 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 106463232

106463232 is an abundant number, since it is smaller than the sum of its proper divisors (218131623).

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

106463232 is an frugal number, since it uses more digits than its factorization.

106463232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106463232 is about 10318.1021510741. The cubic root of 106463232 is about 473.9507506380.

The spelling of 106463232 in words is "one hundred six million, four hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 361 384 456 512 576 608 684 722 768 912 1024 1083 1152 1216 1368 1444 1536 1824 2048 2166 2304 2432 2736 2888 3072 3249 3648 4096 4332 4608 4864 5472 5776 6144 6498 7296 8192 8664 9216 9728 10944 11552 12288 12996 14592 16384 17328 18432 19456 21888 23104 24576 25992 29184 32768 34656 36864 38912 43776 46208 49152 51984 58368 69312 73728 77824 87552 92416 98304 103968 116736 138624 147456 155648 175104 184832 207936 233472 277248 294912 311296 350208 369664 415872 466944 554496 622592 700416 739328 831744 933888 1108992 1400832 1478656 1663488 1867776 2217984 2801664 2957312 3326976 4435968 5603328 5914624 6653952 8871936 11829248 13307904 17743872 26615808 35487744 53231616 106463232