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120714138 = 2351491667
BaseRepresentation
bin1110011000111…
…11001110011010
322102010220200000
413030133032122
5221400323023
615551153430
72664024156
oct714371632
9272126600
10120714138
116215a356
1234515876
131c016cac
1412064066
15a8e7243
hex731f39a

120714138 has 48 divisors (see below), whose sum is σ = 273218400. Its totient is φ = 39944016.

The previous prime is 120714119. The next prime is 120714157. The reversal of 120714138 is 831417021.

It is an interprime number because it is at equal distance from previous prime (120714119) and next prime (120714157).

It is a super-2 number, since 2×1207141382 = 29143806226166088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71581 + ... + 73247.

It is an arithmetic number, because the mean of its divisors is an integer number (5692050).

Almost surely, 2120714138 is an apocalyptic number.

120714138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120714138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136609200).

120714138 is an abundant number, since it is smaller than the sum of its proper divisors (152504262).

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

120714138 is a wasteful number, since it uses less digits than its factorization.

120714138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 120714138 is about 10986.9985892417. The cubic root of 120714138 is about 494.2189334831.

The spelling of 120714138 in words is "one hundred twenty million, seven hundred fourteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 243 298 447 486 894 1341 1667 2682 3334 4023 5001 8046 10002 12069 15003 24138 30006 36207 45009 72414 90018 135027 248383 270054 405081 496766 745149 810162 1490298 2235447 4470894 6706341 13412682 20119023 40238046 60357069 120714138