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2742675 = 352132997
BaseRepresentation
bin1010011101100110010011
312011100020120
422131212103
51200231200
6134441323
732212065
oct12354623
95140216
102742675
111603681
12b03243
137504b0
14515735
153929a0
hex29d993

2742675 has 48 divisors (see below), whose sum is σ = 5103840. Its totient is φ = 1290240.

The previous prime is 2742673. The next prime is 2742679. The reversal of 2742675 is 5762472.

It is not a de Polignac number, because 2742675 - 21 = 2742673 is a prime.

It is a d-powerful number, because it can be written as 219 + 74 + 45 + 221 + 62 + 76 + 53 .

Its product of digits (23520) is a multiple of the sum of its prime divisors (147).

2742675 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2742671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28227 + ... + 28323.

It is an arithmetic number, because the mean of its divisors is an integer number (106330).

22742675 is an apocalyptic number.

2742675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2742675 is a deficient number, since it is larger than the sum of its proper divisors (2361165).

2742675 is a wasteful number, since it uses less digits than its factorization.

2742675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 147 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 2742675 is about 1656.1023519094. The cubic root of 2742675 is about 139.9774623584.

The spelling of 2742675 in words is "two million, seven hundred forty-two thousand, six hundred seventy-five".

Divisors: 1 3 5 13 15 25 29 39 65 75 87 97 145 195 291 325 377 435 485 725 975 1131 1261 1455 1885 2175 2425 2813 3783 5655 6305 7275 8439 9425 14065 18915 28275 31525 36569 42195 70325 94575 109707 182845 210975 548535 914225 2742675