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3200060052 = 22327210691697
BaseRepresentation
bin1011111010111101…
…0000101010010100
322021000110220010200
42332233100222110
523023203410202
61245312220500
7142205030100
oct27657205224
98230426120
103200060052
1113a2394532
1275383a730
133bcc8cc77
14225002900
1513ae10e1c
hexbebd0a94

3200060052 has 108 divisors (see below), whose sum is σ = 9424052820. Its totient is φ = 912909312.

The previous prime is 3200060051. The next prime is 3200060053. The reversal of 3200060052 is 2500600023.

It is an interprime number because it is at equal distance from previous prime (3200060051) and next prime (3200060053).

It can be written as a sum of positive squares in 2 ways, for example, as 2447874576 + 752185476 = 49476^2 + 27426^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200060051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1884868 + ... + 1886564.

Almost surely, 23200060052 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 3200060052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712026410).

3200060052 is an abundant number, since it is smaller than the sum of its proper divisors (6223992768).

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

3200060052 is a wasteful number, since it uses less digits than its factorization.

3200060052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3200060052 is about 56569.0732821389. The cubic root of 3200060052 is about 1473.6218174593.

Adding to 3200060052 its reverse (2500600023), we get a palindrome (5700660075).

The spelling of 3200060052 in words is "three billion, two hundred million, sixty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1069 1697 1764 2138 3207 3394 4276 5091 6414 6788 7483 9621 10182 11879 12828 14966 15273 19242 20364 22449 23758 29932 30546 35637 38484 44898 47516 52381 61092 67347 71274 83153 89796 104762 106911 134694 142548 157143 166306 209524 213822 249459 269388 314286 332612 427644 471429 498918 628572 748377 942858 997836 1496754 1814093 1885716 2993508 3628186 5442279 7256372 10884558 12698651 16326837 21769116 25397302 32653674 38095953 50794604 65307348 76191906 88890557 114287859 152383812 177781114 228575718 266671671 355562228 457151436 533343342 800015013 1066686684 1600030026 3200060052