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1072535016 = 233725724841
BaseRepresentation
bin111111111011011…
…001010111101000
32202202011102110010
4333323121113220
54144032110031
6254232051520
735402253150
oct7773312750
92682142403
101072535016
11500466483
1225b233ba0
13141285807
14a262d760
156425d246
hex3fed95e8

1072535016 has 64 divisors (see below), whose sum is σ = 3076433280. Its totient is φ = 305233920.

The previous prime is 1072535003. The next prime is 1072535029. The reversal of 1072535016 is 6105352701.

It is an interprime number because it is at equal distance from previous prime (1072535003) and next prime (1072535029).

It is a super-2 number, since 2×10725350162 = 2300662721092240512, which contains 22 as substring.

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, 30756 + ... + 55596.

It is an arithmetic number, because the mean of its divisors is an integer number (48069270).

Almost surely, 21072535016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072535016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538216640).

1072535016 is an abundant number, since it is smaller than the sum of its proper divisors (2003898264).

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

1072535016 is a wasteful number, since it uses less digits than its factorization.

1072535016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25114 (or 25110 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 1072535016 is about 32749.5803942585. The cubic root of 1072535016 is about 1023.6162222531.

Adding to 1072535016 its reverse (6105352701), we get a palindrome (7177887717).

The spelling of 1072535016 in words is "one billion, seventy-two million, five hundred thirty-five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 257 514 771 1028 1542 1799 2056 3084 3598 5397 6168 7196 10794 14392 21588 24841 43176 49682 74523 99364 149046 173887 198728 298092 347774 521661 596184 695548 1043322 1391096 2086644 4173288 6384137 12768274 19152411 25536548 38304822 44688959 51073096 76609644 89377918 134066877 153219288 178755836 268133754 357511672 536267508 1072535016