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20618496 = 283319157
BaseRepresentation
bin100111010100…
…1110100000000
31102210112021000
41032221310000
520234242441
62013532000
7340153143
oct116516400
942715230
1020618496
1110702a88
126aa4000
13436bac2
142a4a05a
151c242b6
hex13a9d00

20618496 has 144 divisors (see below), whose sum is σ = 64590400. Its totient is φ = 6469632.

The previous prime is 20618491. The next prime is 20618497. The reversal of 20618496 is 69481602.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20618496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20618491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131250 + ... + 131406.

Almost surely, 220618496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20618496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32295200).

20618496 is an abundant number, since it is smaller than the sum of its proper divisors (43971904).

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

20618496 is a wasteful number, since it uses less digits than its factorization.

20618496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20618496 is about 4540.7594078524. The cubic root of 20618496 is about 274.2114977774.

The spelling of 20618496 in words is "twenty million, six hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 157 171 192 216 228 256 288 304 314 342 384 432 456 471 513 576 608 628 684 768 864 912 942 1026 1152 1216 1256 1368 1413 1728 1824 1884 2052 2304 2432 2512 2736 2826 2983 3456 3648 3768 4104 4239 4864 5024 5472 5652 5966 6912 7296 7536 8208 8478 8949 10048 10944 11304 11932 14592 15072 16416 16956 17898 20096 21888 22608 23864 26847 30144 32832 33912 35796 40192 43776 45216 47728 53694 60288 65664 67824 71592 80541 90432 95456 107388 120576 131328 135648 143184 161082 180864 190912 214776 271296 286368 322164 361728 381824 429552 542592 572736 644328 763648 859104 1085184 1145472 1288656 1718208 2290944 2577312 3436416 5154624 6872832 10309248 20618496