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2713368 = 233731521
BaseRepresentation
bin1010010110011100011000
312002212001010
422112130120
51143311433
6134053520
732030460
oct12263430
95085033
102713368
111593659
12aaa2a0
13740058
14508ba0
15388e63
hex296718

2713368 has 64 divisors (see below), whose sum is σ = 8017920. Its totient is φ = 748800.

The previous prime is 2713349. The next prime is 2713369. The reversal of 2713368 is 8633172.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2713369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4948 + ... + 5468.

It is an arithmetic number, because the mean of its divisors is an integer number (125280).

22713368 is an apocalyptic number.

2713368 is a gapful number since it is divisible by the number (28) 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 2713368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008960).

2713368 is an abundant number, since it is smaller than the sum of its proper divisors (5304552).

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

2713368 is a wasteful number, since it uses less digits than its factorization.

2713368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 564 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 2713368 is about 1647.2304028277. The cubic root of 2713368 is about 139.4770969967.

It can be divided in two parts, 2713 and 368, that added together give a triangular number (3081 = T78).

The spelling of 2713368 in words is "two million, seven hundred thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 521 651 744 868 1042 1302 1563 1736 2084 2604 3126 3647 4168 5208 6252 7294 10941 12504 14588 16151 21882 29176 32302 43764 48453 64604 87528 96906 113057 129208 193812 226114 339171 387624 452228 678342 904456 1356684 2713368