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140080120 = 235231071423
BaseRepresentation
bin10000101100101…
…11001111111000
3100202120210210121
420112113033320
5241330030440
621522223024
73320442565
oct1026271770
9322523717
10140080120
11720872a4
123aab4a74
132303795b
141486586c
15c47034a
hex85973f8

140080120 has 64 divisors (see below), whose sum is σ = 332190720. Its totient is φ = 53057664.

The previous prime is 140080099. The next prime is 140080139. The reversal of 140080120 is 21080041.

It is a happy number.

140080120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 140080094 and 140080103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97729 + ... + 99151.

It is an arithmetic number, because the mean of its divisors is an integer number (5190480).

Almost surely, 2140080120 is an apocalyptic number.

140080120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140080120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166095360).

140080120 is an abundant number, since it is smaller than the sum of its proper divisors (192110600).

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

140080120 is a wasteful number, since it uses less digits than its factorization.

140080120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 140080120 is about 11835.5447698870. The cubic root of 140080120 is about 519.3484443021.

The spelling of 140080120 in words is "one hundred forty million, eighty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 107 115 184 214 230 428 460 535 856 920 1070 1423 2140 2461 2846 4280 4922 5692 7115 9844 11384 12305 14230 19688 24610 28460 32729 49220 56920 65458 98440 130916 152261 163645 261832 304522 327290 609044 654580 761305 1218088 1309160 1522610 3045220 3502003 6090440 7004006 14008012 17510015 28016024 35020030 70040060 140080120