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10706112 = 263218587
BaseRepresentation
bin101000110101…
…110011000000
3202010221000200
4220311303000
510220043422
61021245200
7160000104
oct50656300
922127020
1010706112
11605272a
123703800
1322ab0a1
1415c9904
15e172ac
hexa35cc0

10706112 has 42 divisors (see below), whose sum is σ = 30688788. Its totient is φ = 3568512.

The previous prime is 10706093. The next prime is 10706119. The reversal of 10706112 is 21160701.

It is a super-2 number, since 2×107061122 = 229241668313088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10706119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8718 + ... + 9869.

Almost surely, 210706112 is an apocalyptic number.

10706112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10706112 is an abundant number, since it is smaller than the sum of its proper divisors (19982676).

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

10706112 is a wasteful number, since it uses less digits than its factorization.

10706112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18605 (or 18592 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10706112 is about 3272.0195598437. The cubic root of 10706112 is about 220.3994945108.

Adding to 10706112 its reverse (21160701), we get a palindrome (31866813).

The spelling of 10706112 in words is "ten million, seven hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 18587 37174 55761 74348 111522 148696 167283 223044 297392 334566 446088 594784 669132 892176 1189568 1338264 1784352 2676528 3568704 5353056 10706112