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2740896 = 253231307
BaseRepresentation
bin1010011101001010100000
312011020210200
422131022200
51200202041
6134425200
732203644
oct12351240
95136720
102740896
111602304
12b02200
1374c742
14514c24
153921b6
hex29d2a0

2740896 has 72 divisors (see below), whose sum is σ = 8072064. Its totient is φ = 881280.

The previous prime is 2740889. The next prime is 2740919. The reversal of 2740896 is 6980472.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2740896.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8775 + ... + 9081.

It is an arithmetic number, because the mean of its divisors is an integer number (112112).

22740896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036032).

2740896 is an abundant number, since it is smaller than the sum of its proper divisors (5331168).

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

2740896 is a wasteful number, since it uses less digits than its factorization.

2740896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2740896 is about 1655.5651603003. The cubic root of 2740896 is about 139.9471909669.

The spelling of 2740896 in words is "two million, seven hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 307 372 496 558 614 744 921 992 1116 1228 1488 1842 2232 2456 2763 2976 3684 4464 4912 5526 7368 8928 9517 9824 11052 14736 19034 22104 28551 29472 38068 44208 57102 76136 85653 88416 114204 152272 171306 228408 304544 342612 456816 685224 913632 1370448 2740896