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20609640 = 233456361
BaseRepresentation
bin100111010011…
…1101001101000
31102210002010000
41032213221220
520234002030
62013423000
7340115262
oct116475150
942702100
1020609640
11106a7367
126a9aa60
134367a6c
142a46b32
151c21860
hex13a7a68

20609640 has 80 divisors (see below), whose sum is σ = 69282180. Its totient is φ = 5495040.

The previous prime is 20609639. The next prime is 20609653. The reversal of 20609640 is 4690602.

It can be written as a sum of positive squares in 2 ways, for example, as 19766916 + 842724 = 4446^2 + 918^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60 + ... + 6420.

Almost surely, 220609640 is an apocalyptic number.

20609640 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 20609640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34641090).

20609640 is an abundant number, since it is smaller than the sum of its proper divisors (48672540).

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

20609640 is a wasteful number, since it uses less digits than its factorization.

20609640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20609640 is about 4539.7841358373. The cubic root of 20609640 is about 274.1722326310.

The spelling of 20609640 in words is "twenty million, six hundred nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6361 12722 19083 25444 31805 38166 50888 57249 63610 76332 95415 114498 127220 152664 171747 190830 228996 254440 286245 343494 381660 457992 515241 572490 686988 763320 858735 1030482 1144980 1373976 1717470 2060964 2289960 2576205 3434940 4121928 5152410 6869880 10304820 20609640