Search a number
-
+
20700560 = 2451731491
BaseRepresentation
bin100111011110…
…1110110010000
31102221200211102
41032331312100
520244404220
62015403532
7340644326
oct116756620
942850742
1020700560
1110759701
126b235a8
13439a26a
142a6bd16
151c3d775
hex13bdd90

20700560 has 80 divisors (see below), whose sum is σ = 52710912. Its totient is φ = 7526400.

The previous prime is 20700553. The next prime is 20700593. The reversal of 20700560 is 6500702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41915 + ... + 42405.

Almost surely, 220700560 is an apocalyptic number.

20700560 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 20700560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26355456).

20700560 is an abundant number, since it is smaller than the sum of its proper divisors (32010352).

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

20700560 is a wasteful number, since it uses less digits than its factorization.

20700560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 20700560 is about 4549.7868081922. The cubic root of 20700560 is about 274.5748140200.

The spelling of 20700560 in words is "twenty million, seven hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 491 496 527 620 680 982 1054 1240 1360 1964 2108 2455 2480 2635 3928 4216 4910 5270 7856 8347 8432 9820 10540 15221 16694 19640 21080 30442 33388 39280 41735 42160 60884 66776 76105 83470 121768 133552 152210 166940 243536 258757 304420 333880 517514 608840 667760 1035028 1217680 1293785 2070056 2587570 4140112 5175140 10350280 20700560