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270061740 = 2232513131881
BaseRepresentation
bin10000000110001…
…101000010101100
3200211011120001200
4100012031002230
51023113433430
642444205500
76456326004
oct2006150254
9624146050
10270061740
11129496423
1276539890
1343c47c60
1427c1d004
1518a98460
hex1018d0ac

270061740 has 144 divisors (see below), whose sum is σ = 889945056. Its totient is φ = 65894400.

The previous prime is 270061733. The next prime is 270061769. The reversal of 270061740 is 47160072.

270061740 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 617 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306100 + ... + 306980.

It is an arithmetic number, because the mean of its divisors is an integer number (6180174).

Almost surely, 2270061740 is an apocalyptic number.

270061740 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 270061740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444972528).

270061740 is an abundant number, since it is smaller than the sum of its proper divisors (619883316).

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

270061740 is a wasteful number, since it uses less digits than its factorization.

270061740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 270061740 is about 16433.5553061412. Note that the first 3 decimals coincide. The cubic root of 270061740 is about 646.3796679949.

The spelling of 270061740 in words is "two hundred seventy million, sixty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 131 156 180 195 234 260 262 390 393 468 524 585 655 780 786 881 1170 1179 1310 1572 1703 1762 1965 2340 2358 2620 2643 3406 3524 3930 4405 4716 5109 5286 5895 6812 7860 7929 8515 8810 10218 10572 11453 11790 13215 15327 15858 17030 17620 20436 22906 23580 25545 26430 30654 31716 34060 34359 39645 45812 51090 52860 57265 61308 68718 76635 79290 102180 103077 114530 115411 137436 153270 158580 171795 206154 229060 230822 306540 343590 346233 412308 461644 515385 577055 687180 692466 1030770 1038699 1154110 1384932 1500343 1731165 2061540 2077398 2308220 3000686 3462330 4154796 4501029 5193495 6001372 6924660 7501715 9002058 10386990 13503087 15003430 18004116 20773980 22505145 27006174 30006860 45010290 54012348 67515435 90020580 135030870 270061740