Search a number
-
+
1421779680 = 253251317537
BaseRepresentation
bin101010010111110…
…1010001011100000
310200002022220001200
41110233222023200
510402433422210
6353025401200
750142633156
oct12457521340
93602286050
101421779680
1166a615132
12338199200
13198735c69
14d6b813d6
1584c480c0
hex54bea2e0

1421779680 has 144 divisors (see below), whose sum is σ = 4889508624. Its totient is φ = 376197120.

The previous prime is 1421779663. The next prime is 1421779703. The reversal of 1421779680 is 869771241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184872 + ... + 192408.

It is an arithmetic number, because the mean of its divisors is an integer number (33954921).

Almost surely, 21421779680 is an apocalyptic number.

1421779680 is a gapful number since it is divisible by the number (10) 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 1421779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444754312).

1421779680 is an abundant number, since it is smaller than the sum of its proper divisors (3467728944).

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

1421779680 is a wasteful number, since it uses less digits than its factorization.

1421779680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7689 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1421779680 is about 37706.4938704197. The cubic root of 1421779680 is about 1124.4602329168.

The spelling of 1421779680 in words is "one billion, four hundred twenty-one million, seven hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 131 144 160 180 240 262 288 360 393 480 524 655 720 786 1048 1179 1310 1440 1572 1965 2096 2358 2620 3144 3930 4192 4716 5240 5895 6288 7537 7860 9432 10480 11790 12576 15074 15720 18864 20960 22611 23580 30148 31440 37685 37728 45222 47160 60296 62880 67833 75370 90444 94320 113055 120592 135666 150740 180888 188640 226110 241184 271332 301480 339165 361776 452220 542664 602960 678330 723552 904440 987347 1085328 1205920 1356660 1808880 1974694 2170656 2713320 2962041 3617760 3949388 4936735 5426640 5924082 7898776 8886123 9873470 10853280 11848164 14810205 15797552 17772246 19746940 23696328 29620410 31595104 35544492 39493880 44430615 47392656 59240820 71088984 78987760 88861230 94785312 118481640 142177968 157975520 177722460 236963280 284355936 355444920 473926560 710889840 1421779680