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106061460 = 22351767691
BaseRepresentation
bin1100101001001…
…01111010010100
321101120110222020
412110211322110
5204122431320
614305133140
72425336041
oct624457224
9241513866
10106061460
11549615aa
122b62a1b0
1318c8677b
141012c1c8
1594a0940
hex6525e94

106061460 has 24 divisors (see below), whose sum is σ = 296972256. Its totient is φ = 28283040.

The previous prime is 106061443. The next prime is 106061491. The reversal of 106061460 is 64160601.

It is a super-2 number, since 2×1060614602 = 22498066594663200, 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 106061460.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 883786 + ... + 883905.

It is an arithmetic number, because the mean of its divisors is an integer number (12373844).

Almost surely, 2106061460 is an apocalyptic number.

106061460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106061460 is an abundant number, since it is smaller than the sum of its proper divisors (190910796).

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

106061460 is a wasteful number, since it uses less digits than its factorization.

106061460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767703 (or 1767701 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106061460 is about 10298.6144699178. The cubic root of 106061460 is about 473.3537990666.

The spelling of 106061460 in words is "one hundred six million, sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1767691 3535382 5303073 7070764 8838455 10606146 17676910 21212292 26515365 35353820 53030730 106061460