Search a number
-
+
2091275280 = 243351950957
BaseRepresentation
bin111110010100110…
…0101010000010000
312101202002210101000
41330221211100100
513240331302110
6543303142000
7102552355323
oct17451452020
95352083330
102091275280
1198351a086
124a4444900
132743548c3
1415ba587ba
15c38e21c0
hex7ca65410

2091275280 has 160 divisors (see below), whose sum is σ = 7582550400. Its totient is φ = 528311808.

The previous prime is 2091275243. The next prime is 2091275297. The reversal of 2091275280 is 825721902.

2091275280 is a `hidden beast` number, since 2 + 0 + 9 + 127 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15562 + ... + 66518.

It is an arithmetic number, because the mean of its divisors is an integer number (47390940).

Almost surely, 22091275280 is an apocalyptic number.

2091275280 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 2091275280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791275200).

2091275280 is an abundant number, since it is smaller than the sum of its proper divisors (5491275120).

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

2091275280 is a wasteful number, since it uses less digits than its factorization.

2091275280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50998 (or 50986 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2091275280 is about 45730.4633696183. The cubic root of 2091275280 is about 1278.8032597076.

The spelling of 2091275280 in words is "two billion, ninety-one million, two hundred seventy-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 50957 101914 152871 203828 254785 305742 407656 458613 509570 611484 764355 815312 917226 968183 1019140 1222968 1375839 1528710 1834452 1936366 2038280 2293065 2445936 2751678 2904549 3057420 3668904 3872732 4076560 4586130 4840915 5503356 5809098 6114840 6879195 7337808 7745464 8713647 9172260 9681830 11006712 11618196 12229680 13758390 14522745 15490928 17427294 18344520 19363660 22013424 23236392 26140941 27516780 29045490 34854588 36689040 38727320 43568235 46472784 52281882 55033560 58090980 69709176 77454640 87136470 104563764 110067120 116181960 130704705 139418352 174272940 209127528 232363920 261409410 348545880 418255056 522818820 697091760 1045637640 2091275280