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15485140 = 22511591193
BaseRepresentation
bin111011000100…
…100011010100
31002010201121201
4323010203110
512431011030
61311522244
7245423116
oct73044324
932121551
1015485140
118817240
125229384
133292408
1420b13b6
15155d2ca
hexec48d4

15485140 has 48 divisors (see below), whose sum is σ = 36106560. Its totient is φ = 5530880.

The previous prime is 15485083. The next prime is 15485143. The reversal of 15485140 is 4158451.

It is a junction number, because it is equal to n+sod(n) for n = 15485099 and 15485108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15485143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12384 + ... + 13576.

It is an arithmetic number, because the mean of its divisors is an integer number (752220).

Almost surely, 215485140 is an apocalyptic number.

15485140 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 15485140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18053280).

15485140 is an abundant number, since it is smaller than the sum of its proper divisors (20621420).

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

15485140 is a wasteful number, since it uses less digits than its factorization.

15485140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 15485140 is about 3935.1162625773. The cubic root of 15485140 is about 249.2518432795.

It can be divided in two parts, 15485 and 140, that added together give a 6-th power (15625 = 56).

The spelling of 15485140 in words is "fifteen million, four hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1193 1298 2386 2596 3245 4772 5965 6490 11930 12980 13123 23860 26246 52492 65615 70387 131230 140774 262460 281548 351935 703870 774257 1407740 1548514 3097028 3871285 7742570 15485140