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120116340 = 22325798447
BaseRepresentation
bin1110010100011…
…01010001110100
322101000112122100
413022031101310
5221222210330
615530302100
72655654261
oct712152164
9271015570
10120116340
1161891203
1234287930
131bb67b76
1411d4a268
15a82a060
hex728d474

120116340 has 72 divisors (see below), whose sum is σ = 369008640. Its totient is φ = 31621824.

The previous prime is 120116323. The next prime is 120116357. The reversal of 120116340 is 43611021.

It is a happy number.

120116340 is a `hidden beast` number, since 1 + 20 + 11 + 634 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120116323) and next prime (120116357).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9997 + ... + 18443.

It is an arithmetic number, because the mean of its divisors is an integer number (5125120).

Almost surely, 2120116340 is an apocalyptic number.

120116340 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 120116340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184504320).

120116340 is an abundant number, since it is smaller than the sum of its proper divisors (248892300).

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

120116340 is a wasteful number, since it uses less digits than its factorization.

120116340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8541 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 120116340 is about 10959.7600338694. The cubic root of 120116340 is about 493.4017628883.

Adding to 120116340 its reverse (43611021), we get a palindrome (163727361).

The spelling of 120116340 in words is "one hundred twenty million, one hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 8447 14220 16894 25341 33788 42235 50682 76023 84470 101364 126705 152046 168940 253410 304092 380115 506820 667313 760230 1334626 1520460 2001939 2669252 3336565 4003878 6005817 6673130 8007756 10009695 12011634 13346260 20019390 24023268 30029085 40038780 60058170 120116340