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106418862 = 232114113109
BaseRepresentation
bin1100101011111…
…01001010101110
321102020122020100
412111331022232
5204220400422
614320531530
72431355034
oct625751256
9242218210
10106418862
1155086080
122b780ba6
1319080354
14101c2554
1595217ac
hex657d2ae

106418862 has 48 divisors (see below), whose sum is σ = 257690160. Its totient is φ = 31459200.

The previous prime is 106418833. The next prime is 106418869. The reversal of 106418862 is 268814601.

106418862 is a `hidden beast` number, since 1 + 0 + 641 + 8 + 8 + 6 + 2 = 666.

It is a super-2 number, since 2×1064188622 = 22649948378750088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106418869) 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, 1564 + ... + 14672.

It is an arithmetic number, because the mean of its divisors is an integer number (5368545).

Almost surely, 2106418862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106418862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128845080).

106418862 is an abundant number, since it is smaller than the sum of its proper divisors (151271298).

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

106418862 is a wasteful number, since it uses less digits than its factorization.

106418862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13169 (or 13166 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 106418862 is about 10315.9518222993. The cubic root of 106418862 is about 473.8848996818.

It can be divided in two parts, 10641 and 8862, that added together give a triangular number (19503 = T197).

The spelling of 106418862 in words is "one hundred six million, four hundred eighteen thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 13109 26218 39327 78654 117981 144199 235962 288398 432597 537469 865194 1074938 1297791 1612407 2595582 3224814 4837221 5912159 9674442 11824318 17736477 35472954 53209431 106418862