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106772656 = 2433120161
BaseRepresentation
bin1100101110100…
…11100010110000
321102220121112211
412113103202300
5204313211111
614332301504
72434360354
oct627234260
9242817484
10106772656
11552a7971
122b911894
13191753b3
1410275464
159591521
hex65d38b0

106772656 has 20 divisors (see below), whose sum is σ = 207507304. Its totient is φ = 53222400.

The previous prime is 106772641. The next prime is 106772657. The reversal of 106772656 is 656277601.

It is a happy number.

It is a super-2 number, since 2×1067726562 = 22800800138588672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106772657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4785 + ... + 15376.

Almost surely, 2106772656 is an apocalyptic number.

106772656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106772656 is a deficient number, since it is larger than the sum of its proper divisors (100734648).

106772656 is a wasteful number, since it uses less digits than its factorization.

106772656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20500 (or 20494 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 106772656 is about 10333.0855024044. The cubic root of 106772656 is about 474.4094689123.

The spelling of 106772656 in words is "one hundred six million, seven hundred seventy-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 331 662 1324 2648 5296 20161 40322 80644 161288 322576 6673291 13346582 26693164 53386328 106772656