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20960700 = 22352109641
BaseRepresentation
bin100111111110…
…1010110111100
31110102220200020
41033331112330
520331220300
62025132140
7343106625
oct117752674
943386606
1020960700
11109170a2
12702a050
13445b7a7
142ad8a4c
151c908a0
hex13fd5bc

20960700 has 72 divisors (see below), whose sum is σ = 61298160. Its totient is φ = 5529600.

The previous prime is 20960699. The next prime is 20960701. The reversal of 20960700 is 706902.

It is an interprime number because it is at equal distance from previous prime (20960699) and next prime (20960701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20960701) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32380 + ... + 33020.

Almost surely, 220960700 is an apocalyptic number.

20960700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20960700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30649080).

20960700 is an abundant number, since it is smaller than the sum of its proper divisors (40337460).

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

20960700 is a wasteful number, since it uses less digits than its factorization.

20960700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 20960700 is about 4578.2857053705. The cubic root of 20960700 is about 275.7202058484.

The spelling of 20960700 in words is "twenty million, nine hundred sixty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 545 641 654 1090 1282 1308 1635 1923 2180 2564 2725 3205 3270 3846 5450 6410 6540 7692 8175 9615 10900 12820 16025 16350 19230 32050 32700 38460 48075 64100 69869 96150 139738 192300 209607 279476 349345 419214 698690 838428 1048035 1397380 1746725 2096070 3493450 4192140 5240175 6986900 10480350 20960700