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270001072 = 241117314171
BaseRepresentation
bin10000000101111…
…110001110110000
3200211001110211201
4100011332032300
51023110013242
642443020544
76455654065
oct2005761660
9624043751
10270001072
11129454890
127650a754
1343c26463
1427c04c6c
1518a854b7
hex1017e3b0

270001072 has 160 divisors (see below), whose sum is σ = 647958528. Its totient is φ = 107520000.

The previous prime is 270001033. The next prime is 270001073. The reversal of 270001072 is 270100072.

It is a super-2 number, since 2×2700010722 = 145801157762298368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (270001073) by changing a digit.

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, 3802797 + ... + 3802867.

Almost surely, 2270001072 is an apocalyptic number.

270001072 is a gapful number since it is divisible by the number (22) 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 270001072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323979264).

270001072 is an abundant number, since it is smaller than the sum of its proper divisors (377957456).

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

270001072 is a wasteful number, since it uses less digits than its factorization.

270001072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 270001072 is about 16431.7093450438. The cubic root of 270001072 is about 646.3312623988.

The spelling of 270001072 in words is "two hundred seventy million, one thousand, seventy-two".

Divisors: 1 2 4 8 11 16 17 22 31 34 41 44 62 68 71 82 88 124 136 142 164 176 187 248 272 284 328 341 374 451 496 527 568 656 682 697 748 781 902 1054 1136 1207 1271 1364 1394 1496 1562 1804 2108 2201 2414 2542 2728 2788 2911 2992 3124 3608 4216 4402 4828 5084 5456 5576 5797 5822 6248 7216 7667 8432 8804 9656 10168 11152 11594 11644 12496 13277 13981 15334 17608 19312 20336 21607 23188 23288 24211 26554 27962 30668 32021 35216 37417 43214 46376 46576 48422 49487 53108 55924 61336 64042 74834 86428 90241 92752 96844 98974 106216 111848 122672 128084 149668 172856 180482 193688 197948 212432 223696 237677 256168 299336 345712 360964 387376 395896 411587 475354 512336 544357 598672 721928 791792 823174 950708 992651 1088714 1443856 1534097 1646348 1901416 1985302 2177428 3068194 3292696 3802832 3970604 4354856 6136388 6585392 7941208 8709712 12272776 15882416 16875067 24545552 33750134 67500268 135000536 270001072