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106631406 = 23274120641
BaseRepresentation
bin1100101101100…
…01000011101110
321102122102210100
412112301003232
5204244201111
614325251530
72433231510
oct626610356
9242572710
10106631406
1155210832
122b863ba6
131912600b
1410239bb0
159564756
hex65b10ee

106631406 has 48 divisors (see below), whose sum is σ = 270492768. Its totient is φ = 29721600.

The previous prime is 106631387. The next prime is 106631407. The reversal of 106631406 is 604136601.

It is a super-2 number, since 2×1066314062 = 22740513491073672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106631406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106631407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5155 + ... + 15486.

It is an arithmetic number, because the mean of its divisors is an integer number (5635266).

Almost surely, 2106631406 is an apocalyptic number.

106631406 is an abundant number, since it is smaller than the sum of its proper divisors (163861362).

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

106631406 is a wasteful number, since it uses less digits than its factorization.

106631406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20697 (or 20694 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106631406 is about 10326.2483991041. The cubic root of 106631406 is about 474.2001771605.

The spelling of 106631406 in words is "one hundred six million, six hundred thirty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 5166 20641 41282 61923 123846 144487 185769 288974 371538 433461 846281 866922 1300383 1692562 2538843 2600766 5077686 5923967 7616529 11847934 15233058 17771901 35543802 53315703 106631406