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2740080 = 243572233
BaseRepresentation
bin1010011100111101110000
312011012200110
422130331300
51200140310
6134421320
732201400
oct12347560
95135613
102740080
111601732
12b01840
1374c265
14514800
15391d20
hex29cf70

2740080 has 120 divisors (see below), whose sum is σ = 9923472. Its totient is φ = 623616.

The previous prime is 2740069. The next prime is 2740093. The reversal of 2740080 is 800472.

It is a happy number.

2740080 is digitally balanced in base 8, 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 (21).

2740080 is strictly pandigital in base 8.

It is a congruent number.

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, 11644 + ... + 11876.

22740080 is an apocalyptic number.

2740080 is a gapful number since it is divisible by the number (20) 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 2740080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961736).

2740080 is an abundant number, since it is smaller than the sum of its proper divisors (7183392).

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

2740080 is a wasteful number, since it uses less digits than its factorization.

2740080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2740080 is about 1655.3187004320. The cubic root of 2740080 is about 139.9333015621.

The spelling of 2740080 in words is "two million, seven hundred forty thousand, 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 98 105 112 120 140 147 168 196 210 233 240 245 280 294 336 392 420 466 490 560 588 699 735 784 840 932 980 1165 1176 1398 1470 1631 1680 1864 1960 2330 2352 2796 2940 3262 3495 3728 3920 4660 4893 5592 5880 6524 6990 8155 9320 9786 11184 11417 11760 13048 13980 16310 18640 19572 22834 24465 26096 27960 32620 34251 39144 45668 48930 55920 57085 65240 68502 78288 91336 97860 114170 130480 137004 171255 182672 195720 228340 274008 342510 391440 456680 548016 685020 913360 1370040 2740080