Search a number
-
+
20321120 = 2551731241
BaseRepresentation
bin100110110000…
…1001101100000
31102020102100002
41031201031200
520200233440
62003315132
7334504151
oct115411540
942212302
1020321120
111051a616
12697baa8
134296641
1429ad928
151bb6115
hex1361360

20321120 has 96 divisors (see below), whose sum is σ = 52690176. Its totient is φ = 7372800.

The previous prime is 20321087. The next prime is 20321131. The reversal of 20321120 is 2112302.

It is a happy number.

It is a congruent number.

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, 84200 + ... + 84440.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 220321120 is an apocalyptic number.

20321120 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 20321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26345088).

20321120 is an abundant number, since it is smaller than the sum of its proper divisors (32369056).

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

20321120 is a wasteful number, since it uses less digits than its factorization.

20321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 20321120 is about 4507.8952960334. The cubic root of 20321120 is about 272.8868114367.

Adding to 20321120 its reverse (2112302), we get a palindrome (22433422).

The spelling of 20321120 in words is "twenty million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 68 80 85 124 136 155 160 170 241 248 272 310 340 482 496 527 544 620 680 964 992 1054 1205 1240 1360 1928 2108 2410 2480 2635 2720 3856 4097 4216 4820 4960 5270 7471 7712 8194 8432 9640 10540 14942 16388 16864 19280 20485 21080 29884 32776 37355 38560 40970 42160 59768 65552 74710 81940 84320 119536 127007 131104 149420 163880 239072 254014 298840 327760 508028 597680 635035 655520 1016056 1195360 1270070 2032112 2540140 4064224 5080280 10160560 20321120