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120255114 = 237371823
BaseRepresentation
bin1110010101011…
…11001010001010
322101021121000010
413022233022022
5221241130424
615533252350
72660103000
oct712571212
9271247003
10120255114
11619764a1
12343340b6
131bbb6095
1411d84a70
15a856229
hex72af28a

120255114 has 64 divisors (see below), whose sum is σ = 284774400. Its totient is φ = 33833520.

The previous prime is 120255101. The next prime is 120255119. The reversal of 120255114 is 411552021.

It is a super-2 number, since 2×1202551142 = 28922584886305992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120255119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145707 + ... + 146529.

It is an arithmetic number, because the mean of its divisors is an integer number (4449600).

Almost surely, 2120255114 is an apocalyptic number.

120255114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120255114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142387200).

120255114 is an abundant number, since it is smaller than the sum of its proper divisors (164519286).

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

120255114 is an equidigital number, since it uses as much as digits as its factorization.

120255114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 120255114 is about 10966.0892755804. The cubic root of 120255114 is about 493.5917036967.

The spelling of 120255114 in words is "one hundred twenty million, two hundred fifty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 343 426 497 686 823 994 1029 1491 1646 2058 2469 2982 3479 4938 5761 6958 10437 11522 17283 20874 24353 34566 40327 48706 58433 73059 80654 116866 120981 146118 175299 241962 282289 350598 409031 564578 818062 846867 1227093 1693734 2454186 2863217 5726434 8589651 17179302 20042519 40085038 60127557 120255114