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120392028 = 223317232851
BaseRepresentation
bin1110010110100…
…00100101011100
322101112112211000
413023100211130
5221310021103
615540230300
72661213111
oct713204534
9271475730
10120392028
1161a5a349
123439b390
131bc334b3
1411dbc908
15a881aa3
hex72d095c

120392028 has 96 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 36115200.

The previous prime is 120392023. The next prime is 120392029. The reversal of 120392028 is 820293021.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 120391992 and 120392010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120392023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 40803 + ... + 43653.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2120392028 is an apocalyptic number.

120392028 is a gapful number since it is divisible by the number (18) 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 120392028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

120392028 is an abundant number, since it is smaller than the sum of its proper divisors (224585892).

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

120392028 is a wasteful number, since it uses less digits than its factorization.

120392028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120392028 is about 10972.3301080491. The cubic root of 120392028 is about 493.7789555630.

The spelling of 120392028 in words is "one hundred twenty million, three hundred ninety-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 92 102 108 138 153 204 207 276 306 391 414 459 612 621 782 828 918 1173 1242 1564 1836 2346 2484 2851 3519 4692 5702 7038 8553 10557 11404 14076 17106 21114 25659 34212 42228 48467 51318 65573 76977 96934 102636 131146 145401 153954 193868 196719 262292 290802 307908 393438 436203 581604 590157 786876 872406 1114741 1180314 1308609 1744812 1770471 2229482 2360628 2617218 3344223 3540942 4458964 5234436 6688446 7081884 10032669 13376892 20065338 30098007 40130676 60196014 120392028