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106632940 = 22519280613
BaseRepresentation
bin1100101101100…
…01011011101100
321102122111220011
412112301123230
5204244223230
614325303004
72433236131
oct626613354
9242574804
10106632940
11552119a7
122b864a64
131912691b
141023a588
159564e2a
hex65b16ec

106632940 has 24 divisors (see below), whose sum is σ = 235715760. Its totient is φ = 40408128.

The previous prime is 106632937. The next prime is 106632949. The reversal of 106632940 is 49236601.

It is a super-2 number, since 2×1066329402 = 22741167786087200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106632949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139927 + ... + 140686.

It is an arithmetic number, because the mean of its divisors is an integer number (9821490).

Almost surely, 2106632940 is an apocalyptic number.

106632940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106632940 is an abundant number, since it is smaller than the sum of its proper divisors (129082820).

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

106632940 is a wasteful number, since it uses less digits than its factorization.

106632940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280641 (or 280639 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 106632940 is about 10326.3226755704. The cubic root of 106632940 is about 474.2024510984.

The spelling of 106632940 in words is "one hundred six million, six hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 280613 561226 1122452 1403065 2806130 5331647 5612260 10663294 21326588 26658235 53316470 106632940