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20336640 = 21235331
BaseRepresentation
bin100110110010…
…1000000000000
31102021012121220
41031211000000
520201233030
62003515040
7334600332
oct115450000
942235556
1020336640
1110530245
126988a80
1342a071c
1429b5452
151bbaa10
hex1365000

20336640 has 104 divisors (see below), whose sum is σ = 65265888. Its totient is φ = 5406720.

The previous prime is 20336639. The next prime is 20336647. The reversal of 20336640 is 4663302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20336640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20336647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61275 + ... + 61605.

Almost surely, 220336640 is an apocalyptic number.

20336640 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 20336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32632944).

20336640 is an abundant number, since it is smaller than the sum of its proper divisors (44929248).

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

20336640 is an equidigital number, since it uses as much as digits as its factorization.

20336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 20336640 is about 4509.6163916679. The cubic root of 20336640 is about 272.9562650492.

Adding to 20336640 its reverse (4663302), we get a palindrome (24999942).

The spelling of 20336640 in words is "twenty million, three hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 331 384 480 512 640 662 768 960 993 1024 1280 1324 1536 1655 1920 1986 2048 2560 2648 3072 3310 3840 3972 4096 4965 5120 5296 6144 6620 7680 7944 9930 10240 10592 12288 13240 15360 15888 19860 20480 21184 26480 30720 31776 39720 42368 52960 61440 63552 79440 84736 105920 127104 158880 169472 211840 254208 317760 338944 423680 508416 635520 677888 847360 1016832 1271040 1355776 1694720 2033664 2542080 3389440 4067328 5084160 6778880 10168320 20336640