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3065920 = 265111367
BaseRepresentation
bin1011101100100001000000
312202202122121
423230201000
51241102140
6145414024
735026354
oct13544100
95682577
103065920
111804520
12103a314
13834670
1459b464
1540864a
hex2ec840

3065920 has 112 divisors (see below), whose sum is σ = 8705088. Its totient is φ = 1013760.

The previous prime is 3065917. The next prime is 3065929. The reversal of 3065920 is 295603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3065929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45727 + ... + 45793.

It is an arithmetic number, because the mean of its divisors is an integer number (77724).

Almost surely, 23065920 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 3065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352544).

3065920 is an abundant number, since it is smaller than the sum of its proper divisors (5639168).

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

3065920 is a wasteful number, since it uses less digits than its factorization.

3065920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 3065920 is about 1750.9768702070. The cubic root of 3065920 is about 145.2736805003.

It can be divided in two parts, 306 and 5920, that added together give a palindrome (6226).

The spelling of 3065920 in words is "three million, sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 67 80 88 104 110 130 134 143 160 176 208 220 260 268 286 320 335 352 416 440 520 536 572 670 704 715 737 832 871 880 1040 1072 1144 1340 1430 1474 1742 1760 2080 2144 2288 2680 2860 2948 3484 3520 3685 4160 4288 4355 4576 5360 5720 5896 6968 7370 8710 9152 9581 10720 11440 11792 13936 14740 17420 19162 21440 22880 23584 27872 29480 34840 38324 45760 47168 47905 55744 58960 69680 76648 95810 117920 139360 153296 191620 235840 278720 306592 383240 613184 766480 1532960 3065920