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106682490 = 23251185361
BaseRepresentation
bin1100101101111…
…01100001111010
321102202000212100
412112331201322
5204302314430
614330324230
72433533445
oct626754172
9242660770
10106682490
1155246152
122b889676
1319143345
141025065c
159574960
hex65bd87a

106682490 has 24 divisors (see below), whose sum is σ = 277374708. Its totient is φ = 28448640.

The previous prime is 106682483. The next prime is 106682491. The reversal of 106682490 is 94286601.

106682490 is a `hidden beast` number, since 106 + 68 + 2 + 490 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106069401 + 613089 = 10299^2 + 783^2 .

It is a super-2 number, since 2×1066824902 = 22762307345200200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106682491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592591 + ... + 592770.

Almost surely, 2106682490 is an apocalyptic number.

106682490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106682490 is an abundant number, since it is smaller than the sum of its proper divisors (170692218).

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

106682490 is a wasteful number, since it uses less digits than its factorization.

106682490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185374 (or 1185371 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106682490 is about 10328.7216053101. The cubic root of 106682490 is about 474.2758902343.

The spelling of 106682490 in words is "one hundred six million, six hundred eighty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1185361 2370722 3556083 5926805 7112166 10668249 11853610 17780415 21336498 35560830 53341245 106682490