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1126273632 = 253111397673
BaseRepresentation
bin100001100100001…
…1001001001100000
32220111021121222020
41003020121021200
54301311224012
6303431541440
736624111411
oct10310311140
92814247866
101126273632
11528830060
1227522a880
1314c44c803
14a981b808
1568d25a8c
hex43219260

1126273632 has 96 divisors (see below), whose sum is σ = 3248864640. Its totient is φ = 338795520.

The previous prime is 1126273627. The next prime is 1126273657. The reversal of 1126273632 is 2363726211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1126273593 and 1126273602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142948 + ... + 150620.

It is an arithmetic number, because the mean of its divisors is an integer number (33842340).

Almost surely, 21126273632 is an apocalyptic number.

1126273632 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 1126273632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624432320).

1126273632 is an abundant number, since it is smaller than the sum of its proper divisors (2122591008).

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

1126273632 is a wasteful number, since it uses less digits than its factorization.

1126273632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7836 (or 7828 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 1126273632 is about 33560.0004767580. Note that the first 3 decimals coincide. The cubic root of 1126273632 is about 1040.4342466652.

Adding to 1126273632 its reverse (2363726211), we get a palindrome (3489999843).

The spelling of 1126273632 in words is "one billion, one hundred twenty-six million, two hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 139 176 264 278 352 417 528 556 834 1056 1112 1529 1668 2224 3058 3336 4448 4587 6116 6672 7673 9174 12232 13344 15346 18348 23019 24464 30692 36696 46038 48928 61384 73392 84403 92076 122768 146784 168806 184152 245536 253209 337612 368304 506418 675224 736608 1012836 1066547 1350448 2025672 2133094 2700896 3199641 4051344 4266188 6399282 8102688 8532376 11732017 12798564 17064752 23464034 25597128 34129504 35196051 46928068 51194256 70392102 93856136 102388512 140784204 187712272 281568408 375424544 563136816 1126273632