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2752740 = 2232541373
BaseRepresentation
bin1010100000000011100100
312011212001100
422200003210
51201041430
6135000100
732253324
oct12400344
95155040
102752740
1116101a1
12b09030
13754c53
14519284
15395960
hex2a00e4

2752740 has 72 divisors (see below), whose sum is σ = 8576568. Its totient is φ = 714240.

The previous prime is 2752733. The next prime is 2752787. The reversal of 2752740 is 472572.

2752740 = T95 + T96 + ... + T258.

It can be written as a sum of positive squares in 4 ways, for example, as 10404 + 2742336 = 102^2 + 1656^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7194 + ... + 7566.

It is an arithmetic number, because the mean of its divisors is an integer number (119119).

22752740 is an apocalyptic number.

2752740 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 2752740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288284).

2752740 is an abundant number, since it is smaller than the sum of its proper divisors (5823828).

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

2752740 is a wasteful number, since it uses less digits than its factorization.

2752740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2752740 is about 1659.1383305801. The cubic root of 2752740 is about 140.1484819224.

The spelling of 2752740 in words is "two million, seven hundred fifty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 373 410 492 615 738 746 820 1119 1230 1476 1492 1845 1865 2238 2460 3357 3690 3730 4476 5595 6714 7380 7460 11190 13428 15293 16785 22380 30586 33570 45879 61172 67140 76465 91758 137637 152930 183516 229395 275274 305860 458790 550548 688185 917580 1376370 2752740