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270730980 = 2232513127911
BaseRepresentation
bin10000001000110…
…000011011100100
3200212102120002100
4100020300123210
51023301342410
642510412100
76465114102
oct2010603344
9625376070
10270730980
11129903213
1276801030
1344120760
1427d54c72
1518b7b8c0
hex102306e4

270730980 has 144 divisors (see below), whose sum is σ = 892329984. Its totient is φ = 66044160.

The previous prime is 270730963. The next prime is 270731003. The reversal of 270730980 is 89037072.

270730980 is a `hidden beast` number, since 270 + 7 + 309 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 296725 + ... + 297635.

It is an arithmetic number, because the mean of its divisors is an integer number (6196736).

Almost surely, 2270730980 is an apocalyptic number.

270730980 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 270730980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446164992).

270730980 is an abundant number, since it is smaller than the sum of its proper divisors (621599004).

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

270730980 is a wasteful number, since it uses less digits than its factorization.

270730980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 270730980 is about 16453.9047037474. The cubic root of 270730980 is about 646.9131587096.

The spelling of 270730980 in words is "two hundred seventy million, seven hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 127 130 156 180 195 234 254 260 381 390 468 508 585 635 762 780 911 1143 1170 1270 1524 1651 1822 1905 2286 2340 2540 2733 3302 3644 3810 4555 4572 4953 5466 5715 6604 7620 8199 8255 9110 9906 10932 11430 11843 13665 14859 16398 16510 18220 19812 22860 23686 24765 27330 29718 32796 33020 35529 40995 47372 49530 54660 59215 59436 71058 74295 81990 99060 106587 115697 118430 142116 148590 163980 177645 213174 231394 236860 297180 347091 355290 426348 462788 532935 578485 694182 710580 1041273 1065870 1156970 1388364 1504061 1735455 2082546 2131740 2313940 3008122 3470910 4165092 4512183 5206365 6016244 6941820 7520305 9024366 10412730 13536549 15040610 18048732 20825460 22560915 27073098 30081220 45121830 54146196 67682745 90243660 135365490 270730980