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977066010 = 23351492163
BaseRepresentation
bin111010001111001…
…101100000011010
32112002112002121000
4322033031200122
54000112103020
6240541525430
733132631644
oct7217154032
92462462530
10977066010
1146158a178
12233273876
1312756a48b
1493a9b894
155aba1090
hex3a3cd81a

977066010 has 96 divisors (see below), whose sum is σ = 2639206080. Its totient is φ = 257214528.

The previous prime is 977065997. The next prime is 977066011. The reversal of 977066010 is 10660779.

977066010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (977066011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5994189 + ... + 5994351.

It is an arithmetic number, because the mean of its divisors is an integer number (27491730).

Almost surely, 2977066010 is an apocalyptic number.

977066010 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 977066010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319603040).

977066010 is an abundant number, since it is smaller than the sum of its proper divisors (1662140070).

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

977066010 is a wasteful number, since it uses less digits than its factorization.

977066010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 977066010 is about 31258.0551218402. The cubic root of 977066010 is about 992.2961396084.

The spelling of 977066010 in words is "nine hundred seventy-seven million, sixty-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 163 270 298 326 447 489 745 815 894 978 1341 1467 1490 1630 2235 2445 2682 2934 4023 4401 4470 4890 6705 7335 8046 8802 13410 14670 20115 22005 22201 24287 40230 44010 44402 48574 66603 72861 111005 121435 133206 145722 199809 218583 222010 242870 333015 364305 399618 437166 599427 655749 666030 728610 999045 1092915 1198854 1311498 1998090 2185830 2997135 3278745 3618763 5994270 6557490 7237526 10856289 18093815 21712578 32568867 36187630 54281445 65137734 97706601 108562890 162844335 195413202 325688670 488533005 977066010