Search a number
-
+
1204228080 = 243351150683
BaseRepresentation
bin100011111000111…
…0000111111110000
310002220222010101000
41013301300333300
54431240244310
6315254442000
741561525016
oct10761607760
93086863330
101204228080
11568834420
12297363300
13162644ac3
14b5d108b6
1570ac34c0
hex47c70ff0

1204228080 has 160 divisors (see below), whose sum is σ = 4525067520. Its totient is φ = 291928320.

The previous prime is 1204228063. The next prime is 1204228121. The reversal of 1204228080 is 808224021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1582 + ... + 49101.

It is an arithmetic number, because the mean of its divisors is an integer number (28281672).

Almost surely, 21204228080 is an apocalyptic number.

1204228080 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 1204228080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262533760).

1204228080 is an abundant number, since it is smaller than the sum of its proper divisors (3320839440).

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

1204228080 is a wasteful number, since it uses less digits than its factorization.

1204228080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50716 (or 50704 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1204228080 is about 34701.9895683230. The cubic root of 1204228080 is about 1063.9051633112.

The spelling of 1204228080 in words is "one billion, two hundred four million, two hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 50683 101366 152049 202732 253415 304098 405464 456147 506830 557513 608196 760245 810928 912294 1013660 1115026 1216392 1368441 1520490 1672539 1824588 2027320 2230052 2280735 2432784 2736882 2787565 3040980 3345078 3649176 4054640 4460104 4561470 5017617 5473764 5575130 6081960 6690156 6842205 7298352 8362695 8920208 9122940 10035234 10947528 11150260 12163920 13380312 13684410 15052851 16725390 18245880 20070468 21895056 22300520 25088085 26760624 27368820 30105702 33450780 36491760 40140936 44601040 50176170 54737640 60211404 66901560 75264255 80281872 100352340 109475280 120422808 133803120 150528510 200704680 240845616 301057020 401409360 602114040 1204228080