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4965040 = 245531171
BaseRepresentation
bin10010111100001010110000
3100100020202101
4102330022300
52232340130
6254230144
760126223
oct22741260
910306671
104965040
112891343
1217b5354
13104abc2
149335ba
156811ca
hex4bc2b0

4965040 has 40 divisors (see below), whose sum is σ = 11771568. Its totient is φ = 1946880.

The previous prime is 4965029. The next prime is 4965047. The reversal of 4965040 is 405694.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4965047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3655 + ... + 4825.

Almost surely, 24965040 is an apocalyptic number.

4965040 is a gapful number since it is divisible by the number (40) 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 4965040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885784).

4965040 is an abundant number, since it is smaller than the sum of its proper divisors (6806528).

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

4965040 is a wasteful number, since it uses less digits than its factorization.

4965040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 4965040 is about 2228.2369712398. The cubic root of 4965040 is about 170.5981237885.

The spelling of 4965040 in words is "four million, nine hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 1171 2120 2342 4240 4684 5855 9368 11710 18736 23420 46840 62063 93680 124126 248252 310315 496504 620630 993008 1241260 2482520 4965040