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13957540 = 225697877
BaseRepresentation
bin110101001111…
…100110100100
3222021010010221
4311033212210
512033120130
61215054124
7226431352
oct65174644
928233127
1013957540
117973563
124811344
132b78ccc
141bd47d2
15135a87a
hexd4f9a4

13957540 has 12 divisors (see below), whose sum is σ = 29310876. Its totient is φ = 5583008.

The previous prime is 13957523. The next prime is 13957553. The reversal of 13957540 is 4575931.

It can be written as a sum of positive squares in 2 ways, for example, as 2383936 + 11573604 = 1544^2 + 3402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13957496 and 13957505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 348919 + ... + 348958.

It is an arithmetic number, because the mean of its divisors is an integer number (2442573).

Almost surely, 213957540 is an apocalyptic number.

13957540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13957540 is an abundant number, since it is smaller than the sum of its proper divisors (15353336).

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

13957540 is a wasteful number, since it uses less digits than its factorization.

13957540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697886 (or 697884 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 13957540 is about 3735.9791219973. The cubic root of 13957540 is about 240.7703257731.

The spelling of 13957540 in words is "thirteen million, nine hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 697877 1395754 2791508 3489385 6978770 13957540