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3705780 = 2235134751
BaseRepresentation
bin1110001000101110110100
320222021101010
432020232310
51422041110
6211232220
743333011
oct16105664
96867333
103705780
112101231
1212a8670
139c9990
146c6708
154d3020
hex388bb4

3705780 has 48 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 912000.

The previous prime is 3705773. The next prime is 3705799. The reversal of 3705780 is 875073.

3705780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1596 + ... + 3155.

It is an arithmetic number, because the mean of its divisors is an integer number (232848).

Almost surely, 23705780 is an apocalyptic number.

3705780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3705780 is an abundant number, since it is smaller than the sum of its proper divisors (7470924).

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

3705780 is a wasteful number, since it uses less digits than its factorization.

3705780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 3705780 is about 1925.0402593193. The cubic root of 3705780 is about 154.7485343272.

The spelling of 3705780 in words is "three million, seven hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 4751 9502 14253 19004 23755 28506 47510 57012 61763 71265 95020 123526 142530 185289 247052 285060 308815 370578 617630 741156 926445 1235260 1852890 3705780