Search a number
-
+
20789520 = 2435292103
BaseRepresentation
bin100111101001…
…1100100010000
31110010012212020
41033103210100
520310231040
62021331440
7341464563
oct117234420
943105766
1020789520
111080a524
126b66b80
1343cb8bb
142a924da
151c59cd0
hex13d3910

20789520 has 120 divisors (see below), whose sum is σ = 67394496. Its totient is φ = 5300736.

The previous prime is 20789507. The next prime is 20789551. The reversal of 20789520 is 2598702.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201789 + ... + 201891.

Almost surely, 220789520 is an apocalyptic number.

20789520 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 20789520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33697248).

20789520 is an abundant number, since it is smaller than the sum of its proper divisors (46604976).

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

20789520 is a wasteful number, since it uses less digits than its factorization.

20789520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 20789520 is about 4559.5526096318. The cubic root of 20789520 is about 274.9675774447.

The spelling of 20789520 in words is "twenty million, seven hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 103 116 120 145 174 206 232 240 290 309 348 412 435 464 515 580 618 696 824 841 870 1030 1160 1236 1392 1545 1648 1682 1740 2060 2320 2472 2523 2987 3090 3364 3480 4120 4205 4944 5046 5974 6180 6728 6960 8240 8410 8961 10092 11948 12360 12615 13456 14935 16820 17922 20184 23896 24720 25230 29870 33640 35844 40368 44805 47792 50460 59740 67280 71688 86623 89610 100920 119480 143376 173246 179220 201840 238960 259869 346492 358440 433115 519738 692984 716880 866230 1039476 1299345 1385968 1732460 2078952 2598690 3464920 4157904 5197380 6929840 10394760 20789520