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20110440 = 2335789269
BaseRepresentation
bin100110010110…
…1110001101000
31101211201100010
41030231301220
520122013230
61555011520
7332636010
oct114556150
941751303
1020110440
11103962a9
126899ba0
13422178c
142956c40
151b739b0
hex132dc68

20110440 has 128 divisors (see below), whose sum is σ = 69984000. Its totient is φ = 4528128.

The previous prime is 20110429. The next prime is 20110481. The reversal of 20110440 is 4401102.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 74626 + ... + 74894.

It is an arithmetic number, because the mean of its divisors is an integer number (546750).

Almost surely, 220110440 is an apocalyptic number.

20110440 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 20110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34992000).

20110440 is an abundant number, since it is smaller than the sum of its proper divisors (49873560).

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

20110440 is a wasteful number, since it uses less digits than its factorization.

20110440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20110440 is about 4484.4665234563. The cubic root of 20110440 is about 271.9404786138.

Adding to 20110440 its reverse (4401102), we get a palindrome (24511542).

The spelling of 20110440 in words is "twenty million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 89 105 120 140 168 178 210 267 269 280 356 420 445 534 538 623 712 807 840 890 1068 1076 1246 1335 1345 1614 1780 1869 1883 2136 2152 2492 2670 2690 3115 3228 3560 3738 3766 4035 4984 5340 5380 5649 6230 6456 7476 7532 8070 9345 9415 10680 10760 11298 12460 14952 15064 16140 18690 18830 22596 23941 24920 28245 32280 37380 37660 45192 47882 56490 71823 74760 75320 95764 112980 119705 143646 167587 191528 225960 239410 287292 335174 359115 478820 502761 574584 670348 718230 837935 957640 1005522 1340696 1436460 1675870 2011044 2513805 2872920 3351740 4022088 5027610 6703480 10055220 20110440