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20465640 = 23325134373
BaseRepresentation
bin100111000010…
…0011111101000
31102111202120200
41032010133220
520214400030
62010352200
7335645406
oct116043750
942452520
1020465640
1110609158
126a2b660
134317360
142a0a476
151be3d60
hex13847e8

20465640 has 96 divisors (see below), whose sum is σ = 71646120. Its totient is φ = 5036544.

The previous prime is 20465609. The next prime is 20465647. The reversal of 20465640 is 4656402.

It is a happy number.

20465640 is a `hidden beast` number, since 2 + 0 + 4 + 656 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13527684 + 6937956 = 3678^2 + 2634^2 .

It is not an unprimeable number, because it can be changed into a prime (20465647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2494 + ... + 6866.

Almost surely, 220465640 is an apocalyptic number.

20465640 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 20465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35823060).

20465640 is an abundant number, since it is smaller than the sum of its proper divisors (51180480).

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

20465640 is a wasteful number, since it uses less digits than its factorization.

20465640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20465640 is about 4523.8965505414. The cubic root of 20465640 is about 273.5321905412.

The spelling of 20465640 in words is "twenty million, four hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4373 4680 8746 13119 17492 21865 26238 34984 39357 43730 52476 56849 65595 78714 87460 104952 113698 131190 157428 170547 174920 196785 227396 262380 284245 314856 341094 393570 454792 511641 524760 568490 682188 787140 852735 1023282 1136980 1364376 1574280 1705470 2046564 2273960 2558205 3410940 4093128 5116410 6821880 10232820 20465640