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270150120 = 23335318069
BaseRepresentation
bin10000000110100…
…010100111101000
3200211100001022000
4100012202213220
51023124300440
642450131000
76460144452
oct2006424750
9624301260
10270150120
11129546869
1276580a60
1343c79256
1427c432d2
1518ab4730
hex101a29e8

270150120 has 128 divisors (see below), whose sum is σ = 929664000. Its totient is φ = 69707520.

The previous prime is 270150071. The next prime is 270150137. The reversal of 270150120 is 21051072.

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

It is a junction number, because it is equal to n+sod(n) for n = 270150093 and 270150102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29446 + ... + 37514.

It is an arithmetic number, because the mean of its divisors is an integer number (7263000).

Almost surely, 2270150120 is an apocalyptic number.

270150120 is a gapful number since it is divisible by the number (20) 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 270150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464832000).

270150120 is an abundant number, since it is smaller than the sum of its proper divisors (659513880).

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

270150120 is a wasteful number, since it uses less digits than its factorization.

270150120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 270150120 is about 16436.2440965082. The cubic root of 270150120 is about 646.4501713847.

The spelling of 270150120 in words is "two hundred seventy million, one hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8069 8370 11160 16138 16740 24207 32276 33480 40345 48414 64552 72621 80690 96828 121035 145242 161380 193656 217863 242070 250139 290484 322760 363105 435726 484140 500278 580968 726210 750417 871452 968280 1000556 1089315 1250695 1452420 1500834 1742904 2001112 2178630 2251251 2501390 2904840 3001668 3752085 4357260 4502502 5002780 6003336 6753753 7504170 8714520 9005004 10005560 11256255 13507506 15008340 18010008 22512510 27015012 30016680 33768765 45025020 54030024 67537530 90050040 135075060 270150120