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13860840 = 2335729569
BaseRepresentation
bin110100110111…
…111111101000
3222002012111110
4310313333220
512022021330
61213030320
7225546420
oct64677750
928065443
1013860840
117907944
1247853a0
132b43ca6
141bab480
15133bdb0
hexd37fe8

13860840 has 128 divisors (see below), whose sum is σ = 49248000. Its totient is φ = 3053568.

The previous prime is 13860827. The next prime is 13860841. The reversal of 13860840 is 4806831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13860798 and 13860807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13860841) 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, 24076 + ... + 24644.

It is an arithmetic number, because the mean of its divisors is an integer number (384750).

Almost surely, 213860840 is an apocalyptic number.

13860840 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 13860840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24624000).

13860840 is an abundant number, since it is smaller than the sum of its proper divisors (35387160).

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

13860840 is a wasteful number, since it uses less digits than its factorization.

13860840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13860840 is about 3723.0149073030. The cubic root of 13860840 is about 240.2130053415.

The spelling of 13860840 in words is "thirteen million, eight hundred sixty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 569 580 609 696 812 840 870 1015 1138 1160 1218 1624 1707 1740 2030 2276 2436 2845 3045 3414 3480 3983 4060 4552 4872 5690 6090 6828 7966 8120 8535 11380 11949 12180 13656 15932 16501 17070 19915 22760 23898 24360 31864 33002 34140 39830 47796 49503 59745 66004 68280 79660 82505 95592 99006 115507 119490 132008 159320 165010 198012 231014 238980 247515 330020 346521 396024 462028 477960 495030 577535 660040 693042 924056 990060 1155070 1386084 1732605 1980120 2310140 2772168 3465210 4620280 6930420 13860840