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20401080 = 23357149163
BaseRepresentation
bin100110111010…
…0101110111000
31102101111000120
41031310232320
520210313310
62005133240
7335256240
oct115645670
942344016
1020401080
11105746a7
1269ba220
1342c3b5b
1429d0b20
151bceb70
hex1374bb8

20401080 has 128 divisors (see below), whose sum is σ = 70848000. Its totient is φ = 4603392.

The previous prime is 20401063. The next prime is 20401093. The reversal of 20401080 is 8010402.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 125079 + ... + 125241.

It is an arithmetic number, because the mean of its divisors is an integer number (553500).

Almost surely, 220401080 is an apocalyptic number.

20401080 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 20401080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35424000).

20401080 is an abundant number, since it is smaller than the sum of its proper divisors (50446920).

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

20401080 is a wasteful number, since it uses less digits than its factorization.

20401080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20401080 is about 4516.7554726817. The cubic root of 20401080 is about 273.2442633969.

Adding to 20401080 its reverse (8010402), we get a palindrome (28411482).

The spelling of 20401080 in words is "twenty million, four hundred one thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 149 163 168 210 280 298 326 420 447 489 596 652 745 815 840 894 978 1043 1141 1192 1304 1490 1630 1788 1956 2086 2235 2282 2445 2980 3129 3260 3423 3576 3912 4172 4470 4564 4890 5215 5705 5960 6258 6520 6846 8344 8940 9128 9780 10430 11410 12516 13692 15645 17115 17880 19560 20860 22820 24287 25032 27384 31290 34230 41720 45640 48574 62580 68460 72861 97148 121435 125160 136920 145722 170009 194296 242870 291444 340018 364305 485740 510027 582888 680036 728610 850045 971480 1020054 1360072 1457220 1700090 2040108 2550135 2914440 3400180 4080216 5100270 6800360 10200540 20401080