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4114960 = 24551437
BaseRepresentation
bin1111101100101000010000
321202001122221
433230220100
52023134320
6224110424
746655653
oct17545020
97661587
104114960
1123606a3
121465414
13b10cb5
1479189a
155643aa
hex3eca10

4114960 has 20 divisors (see below), whose sum is σ = 9567468. Its totient is φ = 1645952.

The previous prime is 4114951. The next prime is 4114997. The reversal of 4114960 is 694114.

It can be written as a sum of positive squares in 2 ways, for example, as 2999824 + 1115136 = 1732^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25639 + ... + 25798.

Almost surely, 24114960 is an apocalyptic number.

4114960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114960 is an abundant number, since it is smaller than the sum of its proper divisors (5452508).

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

4114960 is a wasteful number, since it uses less digits than its factorization.

4114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51450 (or 51444 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 4114960 is about 2028.5364182090. The cubic root of 4114960 is about 160.2464950562.

It can be divided in two parts, 41149 and 60, that added together give a square (41209 = 2032).

The spelling of 4114960 in words is "four million, one hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 51437 102874 205748 257185 411496 514370 822992 1028740 2057480 4114960