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120285270 = 23357312053
BaseRepresentation
bin1110010101101…
…10100001010110
322101100010101000
413022312201112
5221243112040
615534044130
72660256630
oct712664126
9271303330
10120285270
1161997116
1234349646
131bbc6a21
1411d91a50
15a860130
hex72b6856

120285270 has 128 divisors (see below), whose sum is σ = 378593280. Its totient is φ = 26593920.

The previous prime is 120285259. The next prime is 120285271. The reversal of 120285270 is 72582021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120285271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57564 + ... + 59616.

It is an arithmetic number, because the mean of its divisors is an integer number (2957760).

Almost surely, 2120285270 is an apocalyptic number.

120285270 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 120285270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189296640).

120285270 is an abundant number, since it is smaller than the sum of its proper divisors (258308010).

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

120285270 is a wasteful number, since it uses less digits than its factorization.

120285270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 120285270 is about 10967.4641554007. The cubic root of 120285270 is about 493.6329590659.

It can be divided in two parts, 120 and 285270, that added together give a triangular number (285390 = T755).

The spelling of 120285270 in words is "one hundred twenty million, two hundred eighty-five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 465 558 630 651 837 930 945 1085 1302 1395 1674 1890 1953 2053 2170 2790 3255 3906 4106 4185 5859 6159 6510 8370 9765 10265 11718 12318 14371 18477 19530 20530 28742 29295 30795 36954 43113 55431 58590 61590 63643 71855 86226 92385 110862 127286 129339 143710 184770 190929 215565 258678 277155 318215 381858 388017 431130 445501 554310 572787 636430 646695 776034 891002 954645 1145574 1293390 1336503 1718361 1909290 1940085 2227505 2673006 2863935 3436722 3880170 4009509 4455010 5727870 6682515 8019018 8591805 12028527 13365030 17183610 20047545 24057054 40095090 60142635 120285270