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106014448 = 24172101227
BaseRepresentation
bin1100101000110…
…10011011110000
321101111002111001
412110122123300
5204114430243
614304131344
72425052011
oct624323360
9241432431
10106014448
115492a251
122b606b54
1318c6b257
1410119008
159491a4d
hex651a6f0

106014448 has 60 divisors (see below), whose sum is σ = 221327352. Its totient is φ = 49177600.

The previous prime is 106014443. The next prime is 106014449. The reversal of 106014448 is 844410601.

It is a super-2 number, since 2×1060144482 = 22478126369489408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106014443) 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 11 ways as a sum of consecutive naturals, for example, 466911 + ... + 467137.

Almost surely, 2106014448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106014448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110663676).

106014448 is an abundant number, since it is smaller than the sum of its proper divisors (115312904).

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

106014448 is a wasteful number, since it uses less digits than its factorization.

106014448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 106014448 is about 10296.3317739863. The cubic root of 106014448 is about 473.2838503232.

The spelling of 106014448 in words is "one hundred six million, fourteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 227 272 289 404 454 578 808 908 1156 1616 1717 1816 2312 3434 3632 3859 4624 6868 7718 13736 15436 22927 27472 29189 30872 45854 58378 61744 65603 91708 116756 131206 183416 233512 262412 366832 389759 467024 524824 779518 1049648 1559036 3118072 6236144 6625903 13251806 26503612 53007224 106014448