Search a number
-
+
3092880 = 243572263
BaseRepresentation
bin1011110011000110010000
312211010122010
423303012100
51242433010
6150142520
735201100
oct13630620
95733563
103092880
1118227aa
121051a40
13843a0b
145a7200
15411620
hex2f3190

3092880 has 120 divisors (see below), whose sum is σ = 11195712. Its totient is φ = 704256.

The previous prime is 3092857. The next prime is 3092891. The reversal of 3092880 is 882903.

3092880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11629 + ... + 11891.

Almost surely, 23092880 is an apocalyptic number.

3092880 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 3092880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597856).

3092880 is an abundant number, since it is smaller than the sum of its proper divisors (8102832).

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

3092880 is a wasteful number, since it uses less digits than its factorization.

3092880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3092880 is about 1758.6585797135. The cubic root of 3092880 is about 145.6982571483.

The spelling of 3092880 in words is "three million, ninety-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 263 280 294 336 392 420 490 526 560 588 735 784 789 840 980 1052 1176 1315 1470 1578 1680 1841 1960 2104 2352 2630 2940 3156 3682 3920 3945 4208 5260 5523 5880 6312 7364 7890 9205 10520 11046 11760 12624 12887 14728 15780 18410 21040 22092 25774 27615 29456 31560 36820 38661 44184 51548 55230 63120 64435 73640 77322 88368 103096 110460 128870 147280 154644 193305 206192 220920 257740 309288 386610 441840 515480 618576 773220 1030960 1546440 3092880