Search a number
-
+
1450208880 = 243352329191
BaseRepresentation
bin101011001110000…
…0110111001110000
310202001211020121000
41112130012321300
510432223141010
6355523002000
750636400141
oct12634067160
93661736530
101450208880
1168467243a
12345809300
131a15aac83
14da861ac8
15874b17c0
hex56706e70

1450208880 has 160 divisors (see below), whose sum is σ = 5212523520. Its totient is φ = 369895680.

The previous prime is 1450208873. The next prime is 1450208957. The reversal of 1450208880 is 888020541.

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

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, 35085 + ... + 64275.

It is an arithmetic number, because the mean of its divisors is an integer number (32578272).

Almost surely, 21450208880 is an apocalyptic number.

1450208880 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 1450208880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606261760).

1450208880 is an abundant number, since it is smaller than the sum of its proper divisors (3762314640).

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

1450208880 is a wasteful number, since it uses less digits than its factorization.

1450208880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29236 (or 29224 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1450208880 is about 38081.6081593202. The cubic root of 1450208880 is about 1131.9055430264.

The spelling of 1450208880 in words is "one billion, four hundred fifty million, two hundred eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 29191 49680 58382 87573 116764 145955 175146 233528 262719 291910 350292 437865 467056 525438 583820 671393 700584 788157 875730 1050876 1167640 1313595 1342786 1401168 1576314 1751460 2014179 2101752 2335280 2627190 2685572 3152628 3356965 3502920 3940785 4028358 4203504 5254380 5371144 6042537 6305256 6713930 7005840 7881570 8056716 10070895 10508760 10742288 12085074 12610512 13427860 15763140 16113432 18127611 20141790 21017520 24170148 26855720 30212685 31526280 32226864 36255222 40283580 48340296 53711440 60425370 63052560 72510444 80567160 90638055 96680592 120850740 145020888 161134320 181276110 241701480 290041776 362552220 483402960 725104440 1450208880