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2742375 = 35371103
BaseRepresentation
bin1010011101100001100111
312011022211110
422131201213
51200224000
6134440103
732211156
oct12354147
95138743
102742375
111603429
12b03033
1375030c
1451559d
15392850
hex29d867

2742375 has 32 divisors (see below), whose sum is σ = 4672512. Its totient is φ = 1428000.

The previous prime is 2742371. The next prime is 2742407. The reversal of 2742375 is 5732472.

It is not a de Polignac number, because 2742375 - 22 = 2742371 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

2742375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26574 + ... + 26676.

It is an arithmetic number, because the mean of its divisors is an integer number (146016).

22742375 is an apocalyptic number.

2742375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2742375 is a deficient number, since it is larger than the sum of its proper divisors (1930137).

2742375 is a wasteful number, since it uses less digits than its factorization.

2742375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its digits is 11760, while the sum is 30.

The square root of 2742375 is about 1656.0117753205. The cubic root of 2742375 is about 139.9723584884.

The spelling of 2742375 in words is "two million, seven hundred forty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 15 25 71 75 103 125 213 309 355 375 515 1065 1545 1775 2575 5325 7313 7725 8875 12875 21939 26625 36565 38625 109695 182825 548475 914125 2742375