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1074135524 = 2271129532269
BaseRepresentation
bin100000000000110…
…0000000111100100
32202212011201221012
41000001200013210
54144434314044
6254330241352
735422000310
oct10001400744
92685151835
101074135524
11501359a10
1225b886258
131416c6167
14a2928b40
156447759e
hex400601e4

1074135524 has 96 divisors (see below), whose sum is σ = 2471212800. Its totient is φ = 396264960.

The previous prime is 1074135521. The next prime is 1074135527. The reversal of 1074135524 is 4255314701.

It is an interprime number because it is at equal distance from previous prime (1074135521) and next prime (1074135527).

It is a super-3 number, since 3×10741355243 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1074135521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472262 + ... + 474530.

It is an arithmetic number, because the mean of its divisors is an integer number (25741800).

Almost surely, 21074135524 is an apocalyptic number.

1074135524 is a gapful number since it is divisible by the number (14) 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 1074135524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235606400).

1074135524 is an abundant number, since it is smaller than the sum of its proper divisors (1397077276).

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

1074135524 is a wasteful number, since it uses less digits than its factorization.

1074135524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 1074135524 is about 32774.0068346853. The cubic root of 1074135524 is about 1024.1251385662.

The spelling of 1074135524 in words is "one billion, seventy-four million, one hundred thirty-five thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 53 58 77 106 116 154 203 212 308 319 371 406 583 638 742 812 1166 1276 1484 1537 2233 2269 2332 3074 4081 4466 4538 6148 8162 8932 9076 10759 15883 16324 16907 21518 24959 31766 33814 43036 49918 63532 65801 67628 99836 118349 120257 131602 174713 236698 240514 263204 349426 460607 473396 481028 698852 723811 841799 921214 1322827 1447622 1683598 1842428 2645654 2895244 3367196 3487453 5066677 5291308 6974906 9259789 10133354 13949812 18519578 20266708 24412171 37039156 38361983 48824342 76723966 97648684 153447932 268533881 537067762 1074135524