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677301020 = 2251131472113
BaseRepresentation
bin101000010111101…
…100101100011100
31202012110110022222
4220113230230130
52341342113040
6151112524512
722532651354
oct5027545434
91665413288
10677301020
11318356310
1216a9b0738
13aa422646
1465d49b64
153e6dbbb5
hex285ecb1c

677301020 has 96 divisors (see below), whose sum is σ = 1636540416. Its totient is φ = 233164800.

The previous prime is 677301019. The next prime is 677301043. The reversal of 677301020 is 20103776.

677301020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319484 + ... + 321596.

It is an arithmetic number, because the mean of its divisors is an integer number (17047296).

Almost surely, 2677301020 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 677301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818270208).

677301020 is an abundant number, since it is smaller than the sum of its proper divisors (959239396).

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

677301020 is a wasteful number, since it uses less digits than its factorization.

677301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 677301020 is about 26025.0075888558. The cubic root of 677301020 is about 878.2009647854.

Adding to 677301020 its reverse (20103776), we get a palindrome (697404796).

The spelling of 677301020 in words is "six hundred seventy-seven million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 47 55 62 94 110 124 155 188 220 235 310 341 470 517 620 682 940 1034 1364 1457 1705 2068 2113 2585 2914 3410 4226 5170 5828 6820 7285 8452 10340 10565 14570 16027 21130 23243 29140 32054 42260 46486 64108 65503 80135 92972 99311 116215 131006 160270 198622 232430 262012 320540 327515 397244 464860 496555 655030 720533 993110 1092421 1310060 1441066 1986220 2184842 2882132 3078641 3602665 4369684 5462105 6157282 7205330 10924210 12314564 14410660 15393205 21848420 30786410 33865051 61572820 67730102 135460204 169325255 338650510 677301020