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70577064 = 233217232109
BaseRepresentation
bin1000011010011…
…10101110101000
311220210200112100
410031032232220
5121031431224
611000413400
71514616015
oct415165650
9156720470
1070577064
1136925658
121b777260
131181139c
14953270c
1562e1ac9
hex434eba8

70577064 has 144 divisors (see below), whose sum is σ = 213513300. Its totient is φ = 20984832.

The previous prime is 70577051. The next prime is 70577071. The reversal of 70577064 is 46077507.

It can be written as a sum of positive squares in 2 ways, for example, as 66292164 + 4284900 = 8142^2 + 2070^2 .

It is a super-2 number, since 2×705770642 = 9962243925720192, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 647442 + ... + 647550.

Almost surely, 270577064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70577064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106756650).

70577064 is an abundant number, since it is smaller than the sum of its proper divisors (142936236).

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

70577064 is a wasteful number, since it uses less digits than its factorization.

70577064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 70577064 is about 8401.0156528839. The cubic root of 70577064 is about 413.2579299381.

The spelling of 70577064 in words is "seventy million, five hundred seventy-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 109 136 138 153 184 204 207 218 276 306 327 391 408 414 436 529 552 612 654 782 828 872 981 1058 1173 1224 1308 1564 1587 1656 1853 1962 2116 2346 2507 2616 3128 3174 3519 3706 3924 4232 4692 4761 5014 5559 6348 7038 7412 7521 7848 8993 9384 9522 10028 11118 12696 14076 14824 15042 16677 17986 19044 20056 22236 22563 26979 28152 30084 33354 35972 38088 42619 44472 45126 53958 57661 60168 66708 71944 80937 85238 90252 107916 115322 127857 133416 161874 170476 172983 180504 215832 230644 255714 323748 340952 345966 383571 461288 511428 518949 647496 691932 767142 980237 1022856 1037898 1383864 1534284 1960474 2075796 2940711 3068568 3920948 4151592 5881422 7841896 8822133 11762844 17644266 23525688 35288532 70577064