Search a number
-
+
1050890240 = 212523297
BaseRepresentation
bin111110101000110…
…101000000000000
32201020102202101202
4332220311000000
54123011441430
6252140120332
735020263641
oct7650650000
92636382352
101050890240
1149a222434
12253b360a8
1313994785a
149d7d76c8
15623d4d45
hex3ea35000

1050890240 has 156 divisors (see below), whose sum is σ = 2663418324. Its totient is φ = 397934592.

The previous prime is 1050890231. The next prime is 1050890257. The reversal of 1050890240 is 420980501.

It can be written as a sum of positive squares in 2 ways, for example, as 424689664 + 626200576 = 20608^2 + 25024^2 .

It is a super-2 number, since 2×10508902402 = 2208740593054515200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10833872 + ... + 10833968.

Almost surely, 21050890240 is an apocalyptic number.

1050890240 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 1050890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331709162).

1050890240 is an abundant number, since it is smaller than the sum of its proper divisors (1612528084).

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

1050890240 is an frugal number, since it uses more digits than its factorization.

1050890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 1050890240 is about 32417.4372830426. The cubic root of 1050890240 is about 1016.6835254154.

The spelling of 1050890240 in words is "one billion, fifty million, eight hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 97 115 128 160 184 194 230 256 320 368 388 460 485 512 529 640 736 776 920 970 1024 1058 1280 1472 1552 1840 1940 2048 2116 2231 2560 2645 2944 3104 3680 3880 4096 4232 4462 5120 5290 5888 6208 7360 7760 8464 8924 10240 10580 11155 11776 12416 14720 15520 16928 17848 20480 21160 22310 23552 24832 29440 31040 33856 35696 42320 44620 47104 49664 51313 58880 62080 67712 71392 84640 89240 94208 99328 102626 117760 124160 135424 142784 169280 178480 198656 205252 235520 248320 256565 270848 285568 338560 356960 397312 410504 471040 496640 513130 541696 571136 677120 713920 821008 993280 1026260 1083392 1142272 1354240 1427840 1642016 1986560 2052520 2166784 2284544 2708480 2855680 3284032 4105040 4569088 5416960 5711360 6568064 8210080 9138176 10833920 11422720 13136128 16420160 22845440 26272256 32840320 45690880 52544512 65680640 105089024 131361280 210178048 262722560 525445120 1050890240