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106614120 = 2335888451
BaseRepresentation
bin1100101101011…
…00110101101000
321102121120002010
412112230311220
5204243122440
614325035520
72433130224
oct626546550
9242546063
10106614120
11551a9848
122b855ba0
131911b1a2
1410233784
15955e580
hex65acd68

106614120 has 32 divisors (see below), whose sum is σ = 319842720. Its totient is φ = 28430400.

The previous prime is 106614061. The next prime is 106614127. The reversal of 106614120 is 21416601.

It is a super-2 number, since 2×1066141202 = 22733141166748800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106614127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444106 + ... + 444345.

It is an arithmetic number, because the mean of its divisors is an integer number (9995085).

Almost surely, 2106614120 is an apocalyptic number.

106614120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106614120 is an abundant number, since it is smaller than the sum of its proper divisors (213228600).

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

106614120 is a wasteful number, since it uses less digits than its factorization.

106614120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888465 (or 888461 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106614120 is about 10325.4113719503. The cubic root of 106614120 is about 474.1745516044.

The spelling of 106614120 in words is "one hundred six million, six hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 888451 1776902 2665353 3553804 4442255 5330706 7107608 8884510 10661412 13326765 17769020 21322824 26653530 35538040 53307060 106614120