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677210070 = 23571349911
BaseRepresentation
bin101000010111010…
…110011111010110
31202012021211120110
4220113112133112
52341331210240
6151110543450
722532122245
oct5027263726
91665254513
10677210070
113182a3a49
1216a967b86
13aa3c0124
1465d2495c
153e6bec80
hex285d67d6

677210070 has 64 divisors (see below), whose sum is σ = 1654732800. Its totient is φ = 177340800.

The previous prime is 677210063. The next prime is 677210081. The reversal of 677210070 is 70012776.

It is a happy number.

It is a super-2 number, since 2×6772100702 = 917226957818809800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742915 + ... + 743825.

It is an arithmetic number, because the mean of its divisors is an integer number (25855200).

Almost surely, 2677210070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677210070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827366400).

677210070 is an abundant number, since it is smaller than the sum of its proper divisors (977522730).

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

677210070 is a wasteful number, since it uses less digits than its factorization.

677210070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341.

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 677210070 is about 26023.2601723919. The cubic root of 677210070 is about 878.1616538780.

The spelling of 677210070 in words is "six hundred seventy-seven million, two hundred ten thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 349 355 426 698 710 911 1047 1065 1745 1822 2094 2130 2733 3490 4555 5235 5466 9110 10470 13665 24779 27330 49558 64681 74337 123895 129362 148674 194043 247790 317939 323405 371685 388086 635878 646810 743370 953817 970215 1589695 1907634 1940430 3179390 4769085 9538170 22573669 45147338 67721007 112868345 135442014 225736690 338605035 677210070