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2745144 = 233371179
BaseRepresentation
bin1010011110001100111000
312011110122000
422132030320
51200321034
6134501000
732222223
oct12361470
95143560
102745144
111605516
12b04760
1375165c
145165ba
15393599
hex29e338

2745144 has 64 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 897120.

The previous prime is 2745131. The next prime is 2745151. The reversal of 2745144 is 4415472.

2745144 is nontrivially palindromic in base 7.

2745144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15247 + ... + 15425.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

22745144 is an apocalyptic number.

2745144 is a gapful number since it is divisible by the number (24) 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 2745144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

2745144 is an abundant number, since it is smaller than the sum of its proper divisors (5030856).

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

2745144 is a wasteful number, since it uses less digits than its factorization.

2745144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 2745144 is about 1656.8476091663. The cubic root of 2745144 is about 140.0194530792.

It can be divided in two parts, 27451 and 44, that added together give a triangular number (27495 = T234).

The spelling of 2745144 in words is "two million, seven hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 179 213 216 284 358 426 537 568 639 716 852 1074 1278 1432 1611 1704 1917 2148 2556 3222 3834 4296 4833 5112 6444 7668 9666 12709 12888 15336 19332 25418 38127 38664 50836 76254 101672 114381 152508 228762 305016 343143 457524 686286 915048 1372572 2745144