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20898540 = 22335132229
BaseRepresentation
bin100111110111…
…0001011101100
31110022202102000
41033232023230
520322223130
62023532300
7342430455
oct117561354
943282360
1020898540
1110884423
126bba090
134439400
142ac012c
151c7c260
hex13ee2ec

20898540 has 144 divisors (see below), whose sum is σ = 70711200. Its totient is φ = 5121792.

The previous prime is 20898533. The next prime is 20898569. The reversal of 20898540 is 4589802.

20898540 is a `hidden beast` number, since 20 + 8 + 98 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20898495 and 20898504.

It is a congruent number.

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, 91146 + ... + 91374.

It is an arithmetic number, because the mean of its divisors is an integer number (491050).

Almost surely, 220898540 is an apocalyptic number.

20898540 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 20898540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35355600).

20898540 is an abundant number, since it is smaller than the sum of its proper divisors (49812660).

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

20898540 is a wasteful number, since it uses less digits than its factorization.

20898540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20898540 is about 4571.4920977729. The cubic root of 20898540 is about 275.4473819777.

The spelling of 20898540 in words is "twenty million, eight hundred ninety-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 229 234 260 270 338 351 390 458 468 507 540 585 676 687 702 780 845 916 1014 1145 1170 1374 1404 1521 1690 1755 2028 2061 2290 2340 2535 2748 2977 3042 3380 3435 3510 4122 4563 4580 5070 5954 6084 6183 6870 7020 7605 8244 8931 9126 10140 10305 11908 12366 13740 14885 15210 17862 18252 20610 22815 24732 26793 29770 30420 30915 35724 38701 41220 44655 45630 53586 59540 61830 77402 80379 89310 91260 107172 116103 123660 133965 154804 160758 178620 193505 232206 267930 321516 348309 387010 401895 464412 535860 580515 696618 774020 803790 1044927 1161030 1393236 1607580 1741545 2089854 2322060 3483090 4179708 5224635 6966180 10449270 20898540