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13386840 = 2335281397
BaseRepresentation
bin110011000100…
…010001011000
3221012010021220
4303010101120
511411334330
61154532040
7221533455
oct63042130
927163256
1013386840
117613805
124597020
132a0930c
141ac682c
151296710
hexcc4458

13386840 has 64 divisors (see below), whose sum is σ = 40404960. Its totient is φ = 3548160.

The previous prime is 13386839. The next prime is 13386847. The reversal of 13386840 is 4868331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13386847) 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, 33522 + ... + 33918.

Almost surely, 213386840 is an apocalyptic number.

13386840 is a gapful number since it is divisible by the number (10) 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 13386840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202480).

13386840 is an abundant number, since it is smaller than the sum of its proper divisors (27018120).

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

13386840 is a wasteful number, since it uses less digits than its factorization.

13386840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 13386840 is about 3658.8030829767. The cubic root of 13386840 is about 237.4429927812.

The spelling of 13386840 in words is "thirteen million, three hundred eighty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 281 397 562 794 843 1124 1191 1405 1588 1686 1985 2248 2382 2810 3176 3372 3970 4215 4764 5620 5955 6744 7940 8430 9528 11240 11910 15880 16860 23820 33720 47640 111557 223114 334671 446228 557785 669342 892456 1115570 1338684 1673355 2231140 2677368 3346710 4462280 6693420 13386840