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21590990320 = 24541109131461
BaseRepresentation
bin10100000110111011…
…000101110111110000
32001201201020221200011
4110012323011313300
5323204243142240
613530241504304
71363021250434
oct240673056760
961651227604
1021590990320
11917a607659
124226942094
1320611a7823
14108b7129c4
1586578a6ea
hex506ec5df0

21590990320 has 160 divisors (see below), whose sum is σ = 52404770880. Its totient is φ = 8266752000.

The previous prime is 21590990299. The next prime is 21590990339. The reversal of 21590990320 is 2309909512.

It is a super-4 number, since 4×215909903204 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 46834890 + ... + 46835350.

It is an arithmetic number, because the mean of its divisors is an integer number (327529818).

Almost surely, 221590990320 is an apocalyptic number.

21590990320 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 21590990320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26202385440).

21590990320 is an abundant number, since it is smaller than the sum of its proper divisors (30813780560).

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

21590990320 is a wasteful number, since it uses less digits than its factorization.

21590990320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The spelling of 21590990320 in words is "twenty-one billion, five hundred ninety million, nine hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 109 131 164 205 218 262 328 410 436 461 524 545 655 656 820 872 922 1048 1090 1310 1640 1744 1844 2096 2180 2305 2620 3280 3688 4360 4469 4610 5240 5371 7376 8720 8938 9220 10480 10742 14279 17876 18440 18901 21484 22345 26855 28558 35752 36880 37802 42968 44690 50249 53710 57116 60391 71395 71504 75604 85936 89380 94505 100498 107420 114232 120782 142790 151208 178760 189010 200996 214840 228464 241564 251245 285580 301955 302416 357520 378020 401992 429680 483128 502490 571160 585439 603910 756040 803984 966256 1004980 1142320 1170878 1207820 1512080 2009960 2060209 2341756 2415640 2476031 2927195 4019920 4120418 4683512 4831280 4952062 5854390 6582619 8240836 9367024 9904124 10301045 11708780 12380155 13165238 16481672 19808248 20602090 23417560 24760310 26330476 32913095 32963344 39616496 41204180 46835120 49520620 52660952 65826190 82408360 99041240 105321904 131652380 164816720 198082480 263304760 269887379 526609520 539774758 1079549516 1349436895 2159099032 2698873790 4318198064 5397747580 10795495160 21590990320