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1112433140 = 2257133119717
BaseRepresentation
bin100001001001110…
…0110000111110100
32212112020110101102
41002103212013310
54234240330030
6302215145232
736365345210
oct10223460764
92775213342
101112433140
11520a37535
12270675218
13149614b80
14a7a57940
15679dec45
hex424e61f4

1112433140 has 96 divisors (see below), whose sum is σ = 2968111104. Its totient is φ = 340692480.

The previous prime is 1112433137. The next prime is 1112433167. The reversal of 1112433140 is 413342111.

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

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, 46562 + ... + 66278.

It is an arithmetic number, because the mean of its divisors is an integer number (30917824).

Almost surely, 21112433140 is an apocalyptic number.

1112433140 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 1112433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484055552).

1112433140 is an abundant number, since it is smaller than the sum of its proper divisors (1855677964).

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

1112433140 is a wasteful number, since it uses less digits than its factorization.

1112433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19777 (or 19775 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1112433140 is about 33353.1578714820. The cubic root of 1112433140 is about 1036.1547909517.

Adding to 1112433140 its reverse (413342111), we get a palindrome (1525775251).

The spelling of 1112433140 in words is "one billion, one hundred twelve million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 1085 1612 1820 2015 2170 2821 4030 4340 5642 8060 11284 14105 19717 28210 39434 56420 78868 98585 138019 197170 256321 276038 394340 512642 552076 611227 690095 1025284 1222454 1281605 1380190 1794247 2444908 2563210 2760380 3056135 3588494 4278589 5126420 6112270 7176988 7945951 8557178 8971235 12224540 15891902 17114356 17942470 21392945 31783804 35884940 39729755 42785890 55621657 79459510 85571780 111243314 158919020 222486628 278108285 556216570 1112433140