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106966986 = 2376613853
BaseRepresentation
bin1100110000000…
…10111111001010
321110021111010020
412120002333022
5204340420421
614340401310
72436130050
oct630027712
9243244106
10106966986
115541a975
122b9a6236
1319212999
14102c61d0
1595cddc6
hex6602fca

106966986 has 32 divisors (see below), whose sum is σ = 244929408. Its totient is φ = 30507840.

The previous prime is 106966961. The next prime is 106967011. The reversal of 106966986 is 689669601.

It is an interprime number because it is at equal distance from previous prime (106966961) and next prime (106967011).

It is a super-2 number, since 2×1069669862 = 22883872187848392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25836 + ... + 29688.

It is an arithmetic number, because the mean of its divisors is an integer number (7654044).

Almost surely, 2106966986 is an apocalyptic number.

106966986 is an abundant number, since it is smaller than the sum of its proper divisors (137962422).

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

106966986 is a wasteful number, since it uses less digits than its factorization.

106966986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526.

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 106966986 is about 10342.4845177549. The cubic root of 106966986 is about 474.6971084670.

The spelling of 106966986 in words is "one hundred six million, nine hundred sixty-six thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 661 1322 1983 3853 3966 4627 7706 9254 11559 13881 23118 26971 27762 53942 80913 161826 2546833 5093666 7640499 15280998 17827831 35655662 53483493 106966986