Search a number
-
+
20435132160 = 283251773883
BaseRepresentation
bin10011000010000001…
…110101111100000000
31221202011022021100200
4103002001311330000
5313322343212120
613215431445200
71322254520532
oct230201657400
957664267320
1020435132160
118737110283
123b63826800
131c0889a1a1
14dbbdd3852
157e906de90
hex4c2075f00

20435132160 has 108 divisors (see below), whose sum is σ = 70703468472. Its totient is φ = 5449365504.

The previous prime is 20435132129. The next prime is 20435132189. The reversal of 20435132160 is 6123153402.

20435132160 is a `hidden beast` number, since 2 + 0 + 435 + 13 + 216 + 0 = 666.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 875422 + ... + 898461.

Almost surely, 220435132160 is an apocalyptic number.

20435132160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20435132160 is an abundant number, since it is smaller than the sum of its proper divisors (50268336312).

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

20435132160 is a wasteful number, since it uses less digits than its factorization.

20435132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773910 (or 1773893 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 20435132160 its reverse (6123153402), we get a palindrome (26558285562).

The spelling of 20435132160 in words is "twenty billion, four hundred thirty-five million, one hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 1773883 3547766 5321649 7095532 8869415 10643298 14191064 15964947 17738830 21286596 26608245 28382128 31929894 35477660 42573192 53216490 56764256 63859788 70955320 79824735 85146384 106432980 113528512 127719576 141910640 159649470 170292768 212865960 227057024 255439152 283821280 319298940 340585536 425731920 454114048 510878304 567642560 638597880 681171072 851463840 1021756608 1135285120 1277195760 1362342144 1702927680 2043513216 2270570240 2554391520 3405855360 4087026432 5108783040 6811710720 10217566080 20435132160