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1150139232 = 253211438443
BaseRepresentation
bin100010010001101…
…1011101101100000
32222011012010102100
41010203123231200
54323413423412
6310043250400
740334010414
oct10443335540
92864163370
101150139232
115402506a0
12281219a00
13154387578
14aca70d44
156ae8bedc
hex448dbb60

1150139232 has 144 divisors (see below), whose sum is σ = 3651455808. Its totient is φ = 340381440.

The previous prime is 1150139231. The next prime is 1150139251. The reversal of 1150139232 is 2329310511.

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

It is a junction number, because it is equal to n+sod(n) for n = 1150139196 and 1150139205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150139231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132003 + ... + 140445.

It is an arithmetic number, because the mean of its divisors is an integer number (25357332).

Almost surely, 21150139232 is an apocalyptic number.

1150139232 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 1150139232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825727904).

1150139232 is an abundant number, since it is smaller than the sum of its proper divisors (2501316576).

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

1150139232 is a wasteful number, since it uses less digits than its factorization.

1150139232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8513 (or 8502 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1150139232 is about 33913.7027173383. The cubic root of 1150139232 is about 1047.7318331790.

Adding to 1150139232 its reverse (2329310511), we get a palindrome (3479449743).

The spelling of 1150139232 in words is "one billion, one hundred fifty million, one hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 43 44 48 66 72 86 88 96 99 129 132 144 172 176 198 258 264 288 344 352 387 396 473 516 528 688 774 792 946 1032 1056 1376 1419 1548 1584 1892 2064 2838 3096 3168 3784 4128 4257 5676 6192 7568 8443 8514 11352 12384 15136 16886 17028 22704 25329 33772 34056 45408 50658 67544 68112 75987 92873 101316 135088 136224 151974 185746 202632 270176 278619 303948 363049 371492 405264 557238 607896 726098 742984 810528 835857 1089147 1114476 1215792 1452196 1485968 1671714 2178294 2228952 2431584 2904392 2971936 3267441 3343428 3993539 4356588 4457904 5808784 6534882 6686856 7987078 8713176 8915808 11617568 11980617 13069764 13373712 15974156 17426352 23961234 26139528 26747424 31948312 34852704 35941851 47922468 52279056 63896624 71883702 95844936 104558112 127793248 143767404 191689872 287534808 383379744 575069616 1150139232