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20478640 = 2457132997
BaseRepresentation
bin100111000011…
…1101010110000
31102112102102011
41032013222300
520220304030
62010532304
7336031330
oct116075260
942472364
1020478640
11106179a6
126a37094
134320250
142a110c0
151be7b2a
hex1387ab0

20478640 has 160 divisors (see below), whose sum is σ = 61246080. Its totient is φ = 6193152.

The previous prime is 20478629. The next prime is 20478641. The reversal of 20478640 is 4687402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20478641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211072 + ... + 211168.

It is an arithmetic number, because the mean of its divisors is an integer number (382788).

Almost surely, 220478640 is an apocalyptic number.

20478640 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 20478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30623040).

20478640 is an abundant number, since it is smaller than the sum of its proper divisors (40767440).

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

20478640 is a wasteful number, since it uses less digits than its factorization.

20478640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 20478640 is about 4525.3331369083. Note that the first 3 decimals coincide. The cubic root of 20478640 is about 273.5900951694.

The spelling of 20478640 in words is "twenty million, four hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 29 35 40 52 56 58 65 70 80 91 97 104 112 116 130 140 145 182 194 203 208 232 260 280 290 364 377 388 406 455 464 485 520 560 580 679 728 754 776 812 910 970 1015 1040 1160 1261 1358 1456 1508 1552 1624 1820 1885 1940 2030 2320 2522 2639 2716 2813 3016 3248 3395 3640 3770 3880 4060 5044 5278 5432 5626 6032 6305 6790 7280 7540 7760 8120 8827 10088 10556 10864 11252 12610 13195 13580 14065 15080 16240 17654 19691 20176 21112 22504 25220 26390 27160 28130 30160 35308 36569 39382 42224 44135 45008 50440 52780 54320 56260 70616 73138 78764 88270 98455 100880 105560 112520 141232 146276 157528 176540 182845 196910 211120 225040 255983 292552 315056 353080 365690 393820 511966 585104 706160 731380 787640 1023932 1279915 1462760 1575280 2047864 2559830 2925520 4095728 5119660 10239320 20478640