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120235164 = 223753113239
BaseRepresentation
bin1110010101010…
…10010010011100
322101020120122020
413022222102130
5221240011124
615533020140
72656660560
oct712522234
9271216566
10120235164
1161962505
1234324650
131bba9c8a
1411d7b6a0
15a850379
hex72aa49c

120235164 has 96 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 33266688.

The previous prime is 120235121. The next prime is 120235183. The reversal of 120235164 is 461532021.

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 31 ways as a sum of consecutive naturals, for example, 502957 + ... + 503195.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2120235164 is an apocalyptic number.

120235164 is a gapful number since it is divisible by the number (14) 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 120235164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

120235164 is an abundant number, since it is smaller than the sum of its proper divisors (210711396).

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

120235164 is a wasteful number, since it uses less digits than its factorization.

120235164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 120235164 is about 10965.1796154919. The cubic root of 120235164 is about 493.5644070084.

Adding to 120235164 its reverse (461532021), we get a palindrome (581767185).

The spelling of 120235164 in words is "one hundred twenty million, two hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 113 159 212 226 239 318 339 371 452 478 636 678 717 742 791 956 1113 1356 1434 1484 1582 1673 2226 2373 2868 3164 3346 4452 4746 5019 5989 6692 9492 10038 11978 12667 17967 20076 23956 25334 27007 35934 38001 41923 50668 54014 71868 76002 81021 83846 88669 108028 125769 152004 162042 167692 177338 189049 251538 266007 324084 354676 378098 503076 532014 567147 756196 1064028 1134294 1431371 2268588 2862742 4294113 5725484 8588226 10019597 17176452 20039194 30058791 40078388 60117582 120235164