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2740680 = 2332523331
BaseRepresentation
bin1010011101000111001000
312011020111200
422131013020
51200200210
6134424200
732203215
oct12350710
95136450
102740680
111602128
12b02060
1374c607
14514b0c
153920c0
hex29d1c8

2740680 has 96 divisors (see below), whose sum is σ = 9322560. Its totient is φ = 696960.

The previous prime is 2740667. The next prime is 2740721. The reversal of 2740680 is 860472.

It is a super-2 number, since 2×27406802 = 15022653724800, which contains 22 as substring.

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, 8115 + ... + 8445.

It is an arithmetic number, because the mean of its divisors is an integer number (97110).

22740680 is an apocalyptic number.

2740680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1655×1656.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661280).

2740680 is an abundant number, since it is smaller than the sum of its proper divisors (6581880).

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

2740680 is a wasteful number, since it uses less digits than its factorization.

2740680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2740680 is about 1655.4999244941. The cubic root of 2740680 is about 139.9435146281.

The spelling of 2740680 in words is "two million, seven hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 331 345 360 414 460 552 662 690 828 920 993 1035 1324 1380 1655 1656 1986 2070 2648 2760 2979 3310 3972 4140 4965 5958 6620 7613 7944 8280 9930 11916 13240 14895 15226 19860 22839 23832 29790 30452 38065 39720 45678 59580 60904 68517 76130 91356 114195 119160 137034 152260 182712 228390 274068 304520 342585 456780 548136 685170 913560 1370340 2740680