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106647376 = 24111374423
BaseRepresentation
bin1100101101101…
…00111101010000
321102200020200211
412112310331100
5204300204001
614325453504
72433326203
oct626647520
9242606624
10106647376
1155221830
122b871294
1319130374
141024193a
159569351
hex65b4f50

106647376 has 40 divisors (see below), whose sum is σ = 227110464. Its totient is φ = 48111360.

The previous prime is 106647313. The next prime is 106647391. The reversal of 106647376 is 673746601.

It is a super-2 number, since 2×1066473762 = 22747325615370752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21901 + ... + 26323.

Almost surely, 2106647376 is an apocalyptic number.

106647376 is a gapful number since it is divisible by the number (16) 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 106647376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113555232).

106647376 is an abundant number, since it is smaller than the sum of its proper divisors (120463088).

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

106647376 is a wasteful number, since it uses less digits than its factorization.

106647376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 106647376 is about 10327.0216422742. The cubic root of 106647376 is about 474.2238493571.

The spelling of 106647376 in words is "one hundred six million, six hundred forty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 137 176 274 548 1096 1507 2192 3014 4423 6028 8846 12056 17692 24112 35384 48653 70768 97306 194612 389224 605951 778448 1211902 2423804 4847608 6665461 9695216 13330922 26661844 53323688 106647376