Search a number
-
+
20267348880 = 2435793832791
BaseRepresentation
bin10010111000000001…
…110011001110010000
31221022110120222222010
4102320001303032100
5313001420131010
613151035342520
71315146423462
oct227001631620
957273528863
1020267348880
118660432209
123b175b1a40
131bacbb2b3c
14da39da132
157d947a620
hex4b8073390

20267348880 has 160 divisors (see below), whose sum is σ = 63813058560. Its totient is φ = 5320373760.

The previous prime is 20267348873. The next prime is 20267348891. The reversal of 20267348880 is 8884376202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7260285 + ... + 7263075.

It is an arithmetic number, because the mean of its divisors is an integer number (398831616).

Almost surely, 220267348880 is an apocalyptic number.

20267348880 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 20267348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31906529280).

20267348880 is an abundant number, since it is smaller than the sum of its proper divisors (43545709680).

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

20267348880 is a wasteful number, since it uses less digits than its factorization.

20267348880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 20267348880 in words is "twenty billion, two hundred sixty-seven million, three hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 383 395 474 632 766 790 948 1149 1185 1264 1532 1580 1896 1915 2298 2370 2791 3064 3160 3792 3830 4596 4740 5582 5745 6128 6320 7660 8373 9192 9480 11164 11490 13955 15320 16746 18384 18960 22328 22980 27910 30257 30640 33492 41865 44656 45960 55820 60514 66984 83730 90771 91920 111640 121028 133968 151285 167460 181542 220489 223280 242056 302570 334920 363084 440978 453855 484112 605140 661467 669840 726168 881956 907710 1068953 1102445 1210280 1322934 1452336 1763912 1815420 2137906 2204890 2420560 2645868 3206859 3307335 3527824 3630840 4275812 4409780 5291736 5344765 6413718 6614670 7261680 8551624 8819560 10583472 10689530 12827436 13229340 16034295 17103248 17639120 21379060 25654872 26458680 32068590 42758120 51309744 52917360 64137180 84447287 85516240 128274360 168894574 253341861 256548720 337789148 422236435 506683722 675578296 844472870 1013367444 1266709305 1351156592 1688945740 2026734888 2533418610 3377891480 4053469776 5066837220 6755782960 10133674440 20267348880