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1133221040 = 245722312569
BaseRepresentation
bin100001110001011…
…1001010010110000
32220222100121000122
41003202321102300
54310101033130
6304240505412
740040135300
oct10342712260
92828317018
101133221040
11531745816
1227761b268
13150a12ac3
14aa709600
15697492e5
hex438b94b0

1133221040 has 120 divisors (see below), whose sum is σ = 3198411360. Its totient is φ = 371610624.

The previous prime is 1133221039. The next prime is 1133221043. The reversal of 1133221040 is 401223311.

It is not an unprimeable number, because it can be changed into a prime (1133221043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 83876 + ... + 96444.

It is an arithmetic number, because the mean of its divisors is an integer number (26653428).

Almost surely, 21133221040 is an apocalyptic number.

1133221040 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 1133221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599205680).

1133221040 is an abundant number, since it is smaller than the sum of its proper divisors (2065190320).

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

1133221040 is a wasteful number, since it uses less digits than its factorization.

1133221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12606 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1133221040 is about 33663.3486153710. The cubic root of 1133221040 is about 1042.5691657822.

Adding to 1133221040 its reverse (401223311), we get a palindrome (1534444351).

The spelling of 1133221040 in words is "one billion, one hundred thirty-three million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 115 140 161 184 196 230 245 280 322 368 392 460 490 560 644 784 805 920 980 1127 1288 1610 1840 1960 2254 2576 3220 3920 4508 5635 6440 9016 11270 12569 12880 18032 22540 25138 45080 50276 62845 87983 90160 100552 125690 175966 201104 251380 289087 351932 439915 502760 578174 615881 703864 879830 1005520 1156348 1231762 1407728 1445435 1759660 2023609 2312696 2463524 2890870 3079405 3519320 4047218 4625392 4927048 5781740 6158810 7038640 8094436 9854096 10118045 11563480 12317620 14165263 16188872 20236090 23126960 24635240 28330526 32377744 40472180 49270480 56661052 70826315 80944360 113322104 141652630 161888720 226644208 283305260 566610520 1133221040