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775016970 = 2357132312343
BaseRepresentation
bin101110001100011…
…101001000001010
32000000022221102020
4232030131020022
53041401020340
6204523145310
725130351460
oct5614351012
92000287366
10775016970
113685277a2
12197675236
13c4746630
1474d04830
154808e9d0
hex2e31d20a

775016970 has 128 divisors (see below), whose sum is σ = 2389008384. Its totient is φ = 156397824.

The previous prime is 775016951. The next prime is 775016987. The reversal of 775016970 is 79610577.

775016970 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 56619 + ... + 68961.

It is an arithmetic number, because the mean of its divisors is an integer number (18664128).

Almost surely, 2775016970 is an apocalyptic number.

775016970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 775016970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194504192).

775016970 is an abundant number, since it is smaller than the sum of its proper divisors (1613991414).

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

775016970 is a wasteful number, since it uses less digits than its factorization.

775016970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12396.

The product of its (nonzero) digits is 92610, while the sum is 42.

The square root of 775016970 is about 27839.1266026792. The cubic root of 775016970 is about 918.5519793510.

The spelling of 775016970 in words is "seven hundred seventy-five million, sixteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 23 26 30 35 39 42 46 65 69 70 78 91 105 115 130 138 161 182 195 210 230 273 299 322 345 390 455 483 546 598 690 805 897 910 966 1365 1495 1610 1794 2093 2415 2730 2990 4186 4485 4830 6279 8970 10465 12343 12558 20930 24686 31395 37029 61715 62790 74058 86401 123430 160459 172802 185145 259203 283889 320918 370290 432005 481377 518406 567778 802295 851667 864010 962754 1123213 1296015 1419445 1604590 1703334 1987223 2246426 2406885 2592030 2838890 3369639 3690557 3974446 4258335 4813770 5616065 5961669 6739278 7381114 8516670 9936115 11071671 11232130 11923338 16848195 18452785 19872230 22143342 25833899 29808345 33696390 36905570 51667798 55358355 59616690 77501697 110716710 129169495 155003394 258338990 387508485 775016970