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1450742112 = 2532192311527
BaseRepresentation
bin101011001111000…
…1001000101100000
310202002211100001100
41112132021011200
510432342221422
6355542234400
750644050561
oct12636110540
93662740040
101450742112
116849a7026
12345a25a00
131a17368b1
14da960168
15875697ac
hex56789160

1450742112 has 144 divisors (see below), whose sum is σ = 4531887360. Its totient is φ = 438172416.

The previous prime is 1450742087. The next prime is 1450742171. The reversal of 1450742112 is 2112470541.

1450742112 is a `hidden beast` number, since 1 + 4 + 507 + 42 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 120093 + ... + 131619.

It is an arithmetic number, because the mean of its divisors is an integer number (31471440).

Almost surely, 21450742112 is an apocalyptic number.

1450742112 is a gapful number since it is divisible by the number (12) 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 1450742112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265943680).

1450742112 is an abundant number, since it is smaller than the sum of its proper divisors (3081145248).

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

1450742112 is a wasteful number, since it uses less digits than its factorization.

1450742112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11585 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1450742112 is about 38088.6086907884. The cubic root of 1450742112 is about 1132.0442573648.

The spelling of 1450742112 in words is "one billion, four hundred fifty million, seven hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 69 72 76 92 96 114 138 144 152 171 184 207 228 276 288 304 342 368 414 437 456 552 608 684 736 828 874 912 1104 1311 1368 1656 1748 1824 2208 2622 2736 3312 3496 3933 5244 5472 6624 6992 7866 10488 11527 13984 15732 20976 23054 31464 34581 41952 46108 62928 69162 92216 103743 125856 138324 184432 207486 219013 265121 276648 368864 414972 438026 530242 553296 657039 795363 829944 876052 1060484 1106592 1314078 1590726 1659888 1752104 1971117 2120968 2386089 2628156 3181452 3319776 3504208 3942234 4241936 4772178 5037299 5256312 6362904 7008416 7884468 8483872 9544356 10074598 10512624 12725808 15111897 15768936 19088712 20149196 21025248 25451616 30223794 31537872 38177424 40298392 45335691 60447588 63075744 76354848 80596784 90671382 120895176 161193568 181342764 241790352 362685528 483580704 725371056 1450742112