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4138740 = 2232522993
BaseRepresentation
bin1111110010011011110100
321210021021200
433302123310
52024414430
6224412500
750115204
oct17623364
97707250
104138740
112377551
121477130
13b1ba78
1479a404
1556b460
hex3f26f4

4138740 has 36 divisors (see below), whose sum is σ = 12554724. Its totient is φ = 1103616.

The previous prime is 4138723. The next prime is 4138741. The reversal of 4138740 is 478314.

It can be written as a sum of positive squares in 2 ways, for example, as 2490084 + 1648656 = 1578^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11317 + ... + 11676.

Almost surely, 24138740 is an apocalyptic number.

It is an amenable number.

4138740 is an abundant number, since it is smaller than the sum of its proper divisors (8415984).

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

4138740 is a wasteful number, since it uses less digits than its factorization.

4138740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23008 (or 23003 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4138740 is about 2034.3893432674. The cubic root of 4138740 is about 160.5545859111.

It can be divided in two parts, 41 and 38740, that added together give a triangular number (38781 = T278).

The spelling of 4138740 in words is "four million, one hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22993 45986 68979 91972 114965 137958 206937 229930 275916 344895 413874 459860 689790 827748 1034685 1379580 2069370 4138740