Search a number
-
+
20102840 = 2351723747
BaseRepresentation
bin100110010101…
…1111010111000
31101211022220122
41030223322320
520121242330
61554512412
7332604602
oct114537270
941738818
1020102840
111039061a
126895708
13421b194
142954172
151b715e5
hex132beb8

20102840 has 96 divisors (see below), whose sum is σ = 50397120. Its totient is φ = 7206912.

The previous prime is 20102837. The next prime is 20102861. The reversal of 20102840 is 4820102.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427697 + ... + 427743.

It is an arithmetic number, because the mean of its divisors is an integer number (524970).

Almost surely, 220102840 is an apocalyptic number.

20102840 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 20102840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198560).

20102840 is an abundant number, since it is smaller than the sum of its proper divisors (30294280).

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

20102840 is a wasteful number, since it uses less digits than its factorization.

20102840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 20102840 is about 4483.6190739179. The cubic root of 20102840 is about 271.9062176687.

Adding to 20102840 its reverse (4820102), we get a palindrome (24922942).

The spelling of 20102840 in words is "twenty million, one hundred two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 47 68 74 85 94 136 148 170 185 188 235 289 296 340 370 376 470 578 629 680 740 799 940 1156 1258 1445 1480 1598 1739 1880 2312 2516 2890 3145 3196 3478 3995 5032 5780 6290 6392 6956 7990 8695 10693 11560 12580 13583 13912 15980 17390 21386 25160 27166 29563 31960 34780 42772 53465 54332 59126 67915 69560 85544 106930 108664 118252 135830 147815 213860 236504 271660 295630 427720 502571 543320 591260 1005142 1182520 2010284 2512855 4020568 5025710 10051420 20102840