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3685705760 = 255117328687
BaseRepresentation
bin1101101110101111…
…0110100000100000
3100111212022020210202
43123223312200200
530022020041020
61405421244332
7160222660562
oct33353664040
910455266722
103685705760
111621537320
1286a4036a8
1346978a5a9
1426d6dd332
15168890e75
hexdbaf6820

3685705760 has 96 divisors (see below), whose sum is σ = 9629528832. Its totient is φ = 1321850880.

The previous prime is 3685705759. The next prime is 3685705801. The reversal of 3685705760 is 675075863.

It is a happy number.

3685705760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 114137 + ... + 142823.

It is an arithmetic number, because the mean of its divisors is an integer number (100307592).

Almost surely, 23685705760 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 3685705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814764416).

3685705760 is an abundant number, since it is smaller than the sum of its proper divisors (5943823072).

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

3685705760 is a wasteful number, since it uses less digits than its factorization.

3685705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28786 (or 28778 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 47.

The square root of 3685705760 is about 60710.0136715517. The cubic root of 3685705760 is about 1544.6860357059.

The spelling of 3685705760 in words is "three billion, six hundred eighty-five million, seven hundred five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 73 80 88 110 146 160 176 220 292 352 365 440 584 730 803 880 1168 1460 1606 1760 2336 2920 3212 4015 5840 6424 8030 11680 12848 16060 25696 28687 32120 57374 64240 114748 128480 143435 229496 286870 315557 458992 573740 631114 917984 1147480 1262228 1577785 2094151 2294960 2524456 3155570 4188302 4589920 5048912 6311140 8376604 10097824 10470755 12622280 16753208 20941510 23035661 25244560 33506416 41883020 46071322 50489120 67012832 83766040 92142644 115178305 167532080 184285288 230356610 335064160 368570576 460713220 737141152 921426440 1842852880 3685705760