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13861530 = 2345109157
BaseRepresentation
bin110100111000…
…001010011010
3222002020110000
4310320022122
512022032110
61213033430
7225551424
oct64701232
928066400
1013861530
117908411
124785876
132b443b7
141bab814
15133c1c0
hexd3829a

13861530 has 80 divisors (see below), whose sum is σ = 37853640. Its totient is φ = 3639168.

The previous prime is 13861513. The next prime is 13861553. The reversal of 13861530 is 3516831.

13861530 is a `hidden beast` number, since 13 + 8 + 615 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11029041 + 2832489 = 3321^2 + 1683^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13861494 and 13861503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88212 + ... + 88368.

Almost surely, 213861530 is an apocalyptic number.

13861530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13861530 is the 2355-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13861530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926820).

13861530 is an abundant number, since it is smaller than the sum of its proper divisors (23992110).

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

13861530 is a wasteful number, since it uses less digits than its factorization.

13861530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13861530 is about 3723.1075729825. The cubic root of 13861530 is about 240.2169912525.

It can be divided in two parts, 1386 and 1530, that added together give a square (2916 = 542).

The spelling of 13861530 in words is "thirteen million, eight hundred sixty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 135 157 162 218 270 314 327 405 471 545 654 785 810 942 981 1090 1413 1570 1635 1962 2355 2826 2943 3270 4239 4710 4905 5886 7065 8478 8829 9810 12717 14130 14715 17113 17658 21195 25434 29430 34226 42390 44145 51339 63585 85565 88290 102678 127170 154017 171130 256695 308034 462051 513390 770085 924102 1386153 1540170 2310255 2772306 4620510 6930765 13861530