Search a number
-
+
20824084680 = 2335723541511
BaseRepresentation
bin10011011001001101…
…100101000011001000
31222202021012002220120
4103121031211003020
5320121431202210
613322204223240
71335016541100
oct233115450310
958667162816
1020824084680
118916720043
124051b3ab20
131c6b3411c9
141017920200
1581d29e270
hex4d93650c8

20824084680 has 96 divisors (see below), whose sum is σ = 72671826240. Its totient is φ = 4759789440.

The previous prime is 20824084679. The next prime is 20824084681. The reversal of 20824084680 is 8648042802.

It is an interprime number because it is at equal distance from previous prime (20824084679) and next prime (20824084681).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20824084681) 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, 1764876 + ... + 1776635.

It is an arithmetic number, because the mean of its divisors is an integer number (756998190).

Almost surely, 220824084680 is an apocalyptic number.

20824084680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20824084680 is an abundant number, since it is smaller than the sum of its proper divisors (51847741560).

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

20824084680 is a wasteful number, since it uses less digits than its factorization.

20824084680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541539 (or 3541528 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 20824084680 in words is "twenty billion, eight hundred twenty-four million, eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 3541511 7083022 10624533 14166044 17707555 21249066 24790577 28332088 35415110 42498132 49581154 53122665 70830220 74371731 84996264 99162308 106245330 123952885 141660440 148743462 173534039 198324616 212490660 247905770 297486924 347068078 371858655 424981320 495811540 520602117 594973848 694136156 743717310 867670195 991623080 1041204234 1388272312 1487434620 1735340390 2082408468 2603010585 2974869240 3470680780 4164816936 5206021170 6941361560 10412042340 20824084680