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20378988 = 22327176771
BaseRepresentation
bin100110110111…
…1010101101100
31102100100201100
41031233111230
520204111423
62004443100
7335134650
oct115572554
942310640
1020378988
111055a043
1269a9490
1342b6a96
1429c6a60
151bc8343
hex136f56c

20378988 has 144 divisors (see below), whose sum is σ = 64157184. Its totient is φ = 5322240.

The previous prime is 20378957. The next prime is 20378999. The reversal of 20378988 is 88987302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286993 + ... + 287063.

It is an arithmetic number, because the mean of its divisors is an integer number (445536).

Almost surely, 220378988 is an apocalyptic number.

20378988 is a gapful number since it is divisible by the number (28) 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 20378988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32078592).

20378988 is an abundant number, since it is smaller than the sum of its proper divisors (43778196).

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

20378988 is a wasteful number, since it uses less digits than its factorization.

20378988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 20378988 is about 4514.3092494866. The cubic root of 20378988 is about 273.1455971739.

It can be divided in two parts, 2037 and 8988, that added together give a square (11025 = 1052).

The spelling of 20378988 in words is "twenty million, three hundred seventy-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 67 68 71 84 102 119 126 134 142 153 201 204 213 238 252 268 284 306 357 402 426 469 476 497 603 612 639 714 804 852 938 994 1071 1139 1206 1207 1278 1407 1428 1491 1876 1988 2142 2278 2412 2414 2556 2814 2982 3417 3621 4221 4284 4473 4556 4757 4828 5628 5964 6834 7242 7973 8442 8449 8946 9514 10251 10863 13668 14271 14484 15946 16884 16898 17892 19028 20502 21726 23919 25347 28542 31892 33299 33796 41004 42813 43452 47838 50694 57084 66598 71757 76041 80869 85626 95676 99897 101388 133196 143514 152082 161738 171252 199794 242607 287028 299691 304164 323476 399588 485214 566083 599382 727821 970428 1132166 1198764 1455642 1698249 2264332 2911284 3396498 5094747 6792996 10189494 20378988