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120672030 = 2352347612
BaseRepresentation
bin1110011000101…
…00111100011110
322102001202220110
413030110330132
5221343001110
615550230450
72663460333
oct714247436
9272052813
10120672030
1162130756
12344b5426
131c000a8b
141205298a
15a8d9a20
hex7314f1e

120672030 has 96 divisors (see below), whose sum is σ = 313777152. Its totient is φ = 29631360.

The previous prime is 120672017. The next prime is 120672031. The reversal of 120672030 is 30276021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120671988 and 120672006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120672031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1978200 + ... + 1978260.

It is an arithmetic number, because the mean of its divisors is an integer number (3268512).

Almost surely, 2120672030 is an apocalyptic number.

120672030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120672030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156888576).

120672030 is an abundant number, since it is smaller than the sum of its proper divisors (193105122).

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

120672030 is a wasteful number, since it uses less digits than its factorization.

120672030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 120672030 is about 10985.0821571803. The cubic root of 120672030 is about 494.1614616426.

The spelling of 120672030 in words is "one hundred twenty million, six hundred seventy-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 61 69 94 115 122 138 141 183 230 235 282 305 345 366 470 610 690 705 915 1081 1403 1410 1830 2162 2806 2867 3243 3721 4209 5405 5734 6486 7015 7442 8418 8601 10810 11163 14030 14335 16215 17202 18605 21045 22326 28670 32430 37210 42090 43005 55815 65941 85583 86010 111630 131882 171166 174887 197823 256749 329705 349774 395646 427915 513498 524661 659410 855830 874435 989115 1049322 1283745 1748870 1978230 2567490 2623305 4022401 5246610 8044802 12067203 20112005 24134406 40224010 60336015 120672030