Search a number
-
+
20706140 = 22571331367
BaseRepresentation
bin100111011111…
…1001101011100
31102221222111002
41032333031130
520300044030
62015445432
7340666520
oct116771534
942858432
1020706140
1110762914
126b26878
13439c970
142a6dd80
151c40245
hex13bf35c

20706140 has 96 divisors (see below), whose sum is σ = 55394304. Its totient is φ = 6324480.

The previous prime is 20706131. The next prime is 20706151. The reversal of 20706140 is 4160702.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56237 + ... + 56603.

It is an arithmetic number, because the mean of its divisors is an integer number (577024).

Almost surely, 220706140 is an apocalyptic number.

20706140 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 20706140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27697152).

20706140 is an abundant number, since it is smaller than the sum of its proper divisors (34688164).

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

20706140 is a wasteful number, since it uses less digits than its factorization.

20706140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 20706140 is about 4550.3999824191. The cubic root of 20706140 is about 274.5994830760.

Adding to 20706140 its reverse (4160702), we get a palindrome (24866842).

The spelling of 20706140 in words is "twenty million, seven hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 367 403 434 455 620 734 806 868 910 1085 1468 1612 1820 1835 2015 2170 2569 2821 3670 4030 4340 4771 5138 5642 7340 8060 9542 10276 11284 11377 12845 14105 19084 22754 23855 25690 28210 33397 45508 47710 51380 56420 56885 66794 79639 95420 113770 133588 147901 159278 166985 227540 295802 318556 333970 398195 591604 667940 739505 796390 1035307 1479010 1592780 2070614 2958020 4141228 5176535 10353070 20706140