Search a number
-
+
20367368760 = 2335598932323
BaseRepresentation
bin10010111101111111…
…010110001000111000
31221120102210112110010
4102331333112020320
5313203021300020
613205011221520
71320502530564
oct227577261070
957512715403
1020367368760
118701937672
123b44ba78a0
131bc78326bb
14db2dd46a4
157e3135de0
hex4bdfd6238

20367368760 has 128 divisors (see below), whose sum is σ = 62837856000. Its totient is φ = 5279087616.

The previous prime is 20367368753. The next prime is 20367368761. The reversal of 20367368760 is 6786376302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20367368761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613959 + ... + 646281.

It is an arithmetic number, because the mean of its divisors is an integer number (490920750).

Almost surely, 220367368760 is an apocalyptic number.

20367368760 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 20367368760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31418928000).

20367368760 is an abundant number, since it is smaller than the sum of its proper divisors (42470487240).

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

20367368760 is a wasteful number, since it uses less digits than its factorization.

20367368760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32485 (or 32481 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 20367368760 in words is "twenty billion, three hundred sixty-seven million, three hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 89 118 120 177 178 236 267 295 354 356 445 472 534 590 708 712 885 890 1068 1180 1335 1416 1770 1780 2136 2360 2670 3540 3560 5251 5340 7080 10502 10680 15753 21004 26255 31506 32323 42008 52510 63012 64646 78765 96969 105020 126024 129292 157530 161615 193938 210040 258584 315060 323230 387876 484845 630120 646460 775752 969690 1292920 1907057 1939380 2876747 3814114 3878760 5721171 5753494 7628228 8630241 9535285 11442342 11506988 14383735 15256456 17260482 19070570 22884684 23013976 28605855 28767470 34520964 38141140 43151205 45769368 57211710 57534940 69041928 76282280 86302410 114423420 115069880 169728073 172604820 228846840 339456146 345209640 509184219 678912292 848640365 1018368438 1357824584 1697280730 2036736876 2545921095 3394561460 4073473752 5091842190 6789122920 10183684380 20367368760