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707812020 = 223456612
BaseRepresentation
bin101010001100000…
…101101010110100
31211022212120120000
4222030011222310
52422144441040
6154122511300
723353205616
oct5214055264
91738776500
10707812020
113335a5713
12179065530
13b38460a6
146a00cdb6
1542217130
hex2a305ab4

707812020 has 90 divisors (see below), whose sum is σ = 2223796806. Its totient is φ = 188464320.

The previous prime is 707812013. The next prime is 707812031. The reversal of 707812020 is 20218707.

It can be written as a sum of positive squares in 3 ways, for example, as 249766416 + 458045604 = 15804^2 + 21402^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 1070490 + ... + 1071150.

Almost surely, 2707812020 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 707812020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111898403).

707812020 is an abundant number, since it is smaller than the sum of its proper divisors (1515984786).

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

707812020 is an equidigital number, since it uses as much as digits as its factorization.

707812020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 707812020 is about 26604.7367962925. The cubic root of 707812020 is about 891.1948014705.

The spelling of 707812020 in words is "seven hundred seven million, eight hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 661 810 1322 1620 1983 2644 3305 3966 5949 6610 7932 9915 11898 13220 17847 19830 23796 29745 35694 39660 53541 59490 71388 89235 107082 118980 178470 214164 267705 356940 436921 535410 873842 1070820 1310763 1747684 2184605 2621526 3932289 4369210 5243052 6553815 7864578 8738420 11796867 13107630 15729156 19661445 23593734 26215260 35390601 39322890 47187468 58984335 70781202 78645780 117968670 141562404 176953005 235937340 353906010 707812020