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120055005 = 32571273001
BaseRepresentation
bin1110010011111…
…10010011011101
322100220102111200
413021332103131
5221213230010
615525110113
72655310410
oct711762335
9270812450
10120055005
116184a114
1234258339
131bb45c85
1411d31b77
15a816cc0
hex727e4dd

120055005 has 48 divisors (see below), whose sum is σ = 239775744. Its totient is φ = 54432000.

The previous prime is 120054943. The next prime is 120055021. The reversal of 120055005 is 500550021.

It is not a de Polignac number, because 120055005 - 26 = 120054941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38505 + ... + 41505.

It is an arithmetic number, because the mean of its divisors is an integer number (4995328).

Almost surely, 2120055005 is an apocalyptic number.

120055005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120055005 is a deficient number, since it is larger than the sum of its proper divisors (119720739).

120055005 is a wasteful number, since it uses less digits than its factorization.

120055005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 120055005 is about 10956.9614857405. The cubic root of 120055005 is about 493.3177666848.

The spelling of 120055005 in words is "one hundred twenty million, fifty-five thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 127 315 381 635 889 1143 1905 2667 3001 4445 5715 8001 9003 13335 15005 21007 27009 40005 45015 63021 105035 135045 189063 315105 381127 945315 1143381 1905635 2667889 3430143 5716905 8003667 13339445 17150715 24011001 40018335 120055005