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106284630 = 23517831987
BaseRepresentation
bin1100101010111…
…00011001010110
321101222211002210
412111130121112
5204202102010
614314014250
72430255504
oct625343126
9241884083
10106284630
1154aa4241
122b717386
131903421a
1410189674
1594e6b20
hex655c656

106284630 has 32 divisors (see below), whose sum is σ = 255354624. Its totient is φ = 28312416.

The previous prime is 106284617. The next prime is 106284637. The reversal of 106284630 is 36482601.

It is a super-2 number, since 2×1062846302 = 22592845148473800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106284637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52497 + ... + 54483.

It is an arithmetic number, because the mean of its divisors is an integer number (7979832).

Almost surely, 2106284630 is an apocalyptic number.

106284630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106284630 is an abundant number, since it is smaller than the sum of its proper divisors (149069994).

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

106284630 is a wasteful number, since it uses less digits than its factorization.

106284630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 106284630 is about 10309.4437289313. The cubic root of 106284630 is about 473.6855701001.

The spelling of 106284630 in words is "one hundred six million, two hundred eighty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1783 1987 3566 3974 5349 5961 8915 9935 10698 11922 17830 19870 26745 29805 53490 59610 3542821 7085642 10628463 17714105 21256926 35428210 53142315 106284630