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1072604052 = 2233131744939
BaseRepresentation
bin111111111011101…
…010001110010100
32202202021221011000
4333323222032110
54144041312202
6254233343300
735402661342
oct7773521624
92682257130
101072604052
11500503333
1225b267b30
131412ab070
14a264a992
156427391c
hex3feea394

1072604052 has 96 divisors (see below), whose sum is σ = 3170966400. Its totient is φ = 310611456.

The previous prime is 1072604051. The next prime is 1072604153. The reversal of 1072604052 is 2504062701.

1072604052 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 604 + 0 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072604051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399 + ... + 46337.

It is an arithmetic number, because the mean of its divisors is an integer number (33030900).

Almost surely, 21072604052 is an apocalyptic number.

1072604052 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 1072604052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585483200).

1072604052 is an abundant number, since it is smaller than the sum of its proper divisors (2098362348).

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

1072604052 is a wasteful number, since it uses less digits than its factorization.

1072604052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44982 (or 44974 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1072604052 is about 32750.6343755354. The cubic root of 1072604052 is about 1023.6381841945.

Adding to 1072604052 its reverse (2504062701), we get a palindrome (3576666753).

The spelling of 1072604052 in words is "one billion, seventy-two million, six hundred four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 5967 7956 11934 23868 44939 89878 134817 179756 269634 404451 539268 584207 763963 808902 1168414 1213353 1527926 1617804 1752621 2291889 2336828 2426706 3055852 3505242 4583778 4853412 5257863 6875667 7010484 9167556 9931519 10515726 13751334 15773589 19863038 20627001 21031452 27502668 29794557 31547178 39726076 41254002 59589114 63094356 82508004 89383671 119178228 178767342 268151013 357534684 536302026 1072604052