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1133450120 = 2351123472383
BaseRepresentation
bin100001110001111…
…0001001110001000
32220222210020021002
41003203301032020
54310130400440
6304245434132
740042111205
oct10343611610
92828706232
101133450120
11531891940
1227770b948
13150a9315a
14aa768cac
1569792115
hex438f1388

1133450120 has 128 divisors (see below), whose sum is σ = 2966077440. Its totient is φ = 385693440.

The previous prime is 1133450113. The next prime is 1133450147. The reversal of 1133450120 is 210543311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1133450092 and 1133450101.

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, 474449 + ... + 476831.

It is an arithmetic number, because the mean of its divisors is an integer number (23172480).

Almost surely, 21133450120 is an apocalyptic number.

1133450120 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 1133450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483038720).

1133450120 is an abundant number, since it is smaller than the sum of its proper divisors (1832627320).

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

1133450120 is a wasteful number, since it uses less digits than its factorization.

1133450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1133450120 is about 33666.7509569902. The cubic root of 1133450120 is about 1042.6394126403.

Adding to 1133450120 its reverse (210543311), we get a palindrome (1343993431).

The spelling of 1133450120 in words is "one billion, one hundred thirty-three million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 47 55 88 92 94 110 115 184 188 220 230 235 253 376 440 460 470 506 517 920 940 1012 1034 1081 1265 1880 2024 2068 2162 2383 2530 2585 4136 4324 4766 5060 5170 5405 8648 9532 10120 10340 10810 11891 11915 19064 20680 21620 23782 23830 26213 43240 47564 47660 52426 54809 59455 95128 95320 104852 109618 112001 118910 131065 209704 219236 224002 237820 262130 274045 438472 448004 475640 524260 548090 560005 602899 896008 1048520 1096180 1120010 1205798 1232011 2192360 2240020 2411596 2464022 2576023 3014495 4480040 4823192 4928044 5152046 6028990 6160055 9856088 10304092 12057980 12320110 12880115 20608184 24115960 24640220 25760230 28336253 49280440 51520460 56672506 103040920 113345012 141681265 226690024 283362530 566725060 1133450120