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20919420 = 223252331163
BaseRepresentation
bin100111111001…
…1010001111100
31110100211001100
41033303101330
520323410140
62024213100
7342545364
oct117632174
943324040
1020919420
1110899085
12700a190
134445a72
142ac79a4
151c83530
hex13f347c

20919420 has 144 divisors (see below), whose sum is σ = 68769792. Its totient is φ = 5132160.

The previous prime is 20919419. The next prime is 20919421. The reversal of 20919420 is 2491902.

It is an interprime number because it is at equal distance from previous prime (20919419) and next prime (20919421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20919421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128259 + ... + 128421.

It is an arithmetic number, because the mean of its divisors is an integer number (477568).

Almost surely, 220919420 is an apocalyptic number.

20919420 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 20919420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34384896).

20919420 is an abundant number, since it is smaller than the sum of its proper divisors (47850372).

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

20919420 is a wasteful number, since it uses less digits than its factorization.

20919420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20919420 is about 4573.7752458992. The cubic root of 20919420 is about 275.5390857839.

It can be divided in two parts, 2091 and 9420, that added together give a palindrome (11511).

The spelling of 20919420 in words is "twenty million, nine hundred nineteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 163 180 186 207 230 276 279 310 326 345 372 414 460 465 489 558 620 652 690 713 815 828 930 978 1035 1116 1380 1395 1426 1467 1630 1860 1956 2070 2139 2445 2790 2852 2934 3260 3565 3749 4140 4278 4890 5053 5580 5868 6417 7130 7335 7498 8556 9780 10106 10695 11247 12834 14260 14670 14996 15159 18745 20212 21390 22494 25265 25668 29340 30318 32085 33741 37490 42780 44988 45477 50530 56235 60636 64170 67482 74980 75795 90954 101060 112470 116219 128340 134964 151590 168705 181908 224940 227385 232438 303180 337410 348657 454770 464876 581095 674820 697314 909540 1045971 1162190 1394628 1743285 2091942 2324380 3486570 4183884 5229855 6973140 10459710 20919420