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3105780 = 2235371399
BaseRepresentation
bin1011110110001111110100
312211210022220
423312033310
51243341110
6150322340
735253516
oct13661764
95753286
103105780
111831467
1210593b0
13849852
145abbb6
15415370
hex2f63f4

3105780 has 48 divisors (see below), whose sum is σ = 8937600. Its totient is φ = 805248.

The previous prime is 3105769. The next prime is 3105787. The reversal of 3105780 is 875013.

It is a self number, because there is not a number n which added to its sum of digits gives 3105780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105787) 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, 1521 + ... + 2919.

It is an arithmetic number, because the mean of its divisors is an integer number (186200).

Almost surely, 23105780 is an apocalyptic number.

3105780 is a gapful number since it is divisible by the number (30) 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 3105780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468800).

3105780 is an abundant number, since it is smaller than the sum of its proper divisors (5831820).

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

3105780 is a wasteful number, since it uses less digits than its factorization.

3105780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 3105780 is about 1762.3223314706. The cubic root of 3105780 is about 145.9005390016.

The spelling of 3105780 in words is "three million, one hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1399 2220 2798 4197 5596 6995 8394 13990 16788 20985 27980 41970 51763 83940 103526 155289 207052 258815 310578 517630 621156 776445 1035260 1552890 3105780