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65380770 = 2345713887
BaseRepresentation
bin1111100101101…
…0000110100010
311120000200120000
43321122012202
5113214141040
610253200430
71422504330
oct371320642
9146020500
1065380770
11339a65a4
1219a90116
1310712160
14897cb50
155b17130
hex3e5a1a2

65380770 has 160 divisors (see below), whose sum is σ = 216615168. Its totient is φ = 13779072.

The previous prime is 65380751. The next prime is 65380801. The reversal of 65380770 is 7708356.

65380770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 73267 + ... + 74153.

Almost surely, 265380770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65380770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108307584).

65380770 is an abundant number, since it is smaller than the sum of its proper divisors (151234398).

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

65380770 is a wasteful number, since it uses less digits than its factorization.

65380770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 65380770 is about 8085.8376189483. The cubic root of 65380770 is about 402.8561614799.

The spelling of 65380770 in words is "sixty-five million, three hundred eighty thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 810 819 887 910 945 1053 1134 1170 1365 1638 1755 1774 1890 2106 2457 2661 2730 2835 3510 4095 4435 4914 5265 5322 5670 6209 7371 7983 8190 8870 10530 11531 12285 12418 13305 14742 15966 18627 23062 23949 24570 26610 31045 34593 36855 37254 39915 47898 55881 57655 62090 69186 71847 73710 79830 80717 93135 103779 111762 115310 119745 143694 161434 167643 172965 186270 207558 239490 242151 279405 311337 335286 345930 359235 403585 484302 502929 518895 558810 622674 718470 726453 807170 838215 934011 1005858 1037790 1210755 1452906 1556685 1676430 1868022 2179359 2421510 2514645 3113370 3632265 4358718 4670055 5029290 6538077 7264530 9340110 10896795 13076154 21793590 32690385 65380770