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12855140 = 2254161257
BaseRepresentation
bin110001000010…
…011101100100
3220012002221022
4301002131210
511242331030
61135310312
7214160354
oct61023544
926162838
1012855140
117290291
12437b398
1328812bc
1419c8b64
1511ddde5
hexc42764

12855140 has 48 divisors (see below), whose sum is σ = 28216944. Its totient is φ = 4915200.

The previous prime is 12855131. The next prime is 12855187. The reversal of 12855140 is 4155821.

It can be written as a sum of positive squares in 8 ways, for example, as 1308736 + 11546404 = 1144^2 + 3398^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49892 + ... + 50148.

It is an arithmetic number, because the mean of its divisors is an integer number (587853).

Almost surely, 212855140 is an apocalyptic number.

12855140 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 12855140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108472).

12855140 is an abundant number, since it is smaller than the sum of its proper divisors (15361804).

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

12855140 is a wasteful number, since it uses less digits than its factorization.

12855140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 12855140 is about 3585.4065320407. The cubic root of 12855140 is about 234.2568344193.

It can be divided in two parts, 1285 and 5140, that multiplied together give a square (6604900 = 25702).

The spelling of 12855140 in words is "twelve million, eight hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 257 305 410 514 610 820 1028 1220 1285 2501 2570 5002 5140 10004 10537 12505 15677 21074 25010 31354 42148 50020 52685 62708 78385 105370 156770 210740 313540 642757 1285514 2571028 3213785 6427570 12855140